The word "Problem" is broad and can mean different thing to different persons at a given period, just as it could mean financial for those in needs, health challenge for the sick and emotional needs for those in need of advice. But on the contrary, if i'm to be in such a position to help, i will go for the poor, simply because they have no one to help them, and by doing so will really mean alot to the poor.
Yes, you are absolutely right, I also feel that the context of the sentence "problem" is still too general and does not have a specific purpose or a specific meaning. In fact, both rich people and poor people of course still need someone's help. But I think the percentage level of poor people is certainly far more in need of help than rich people because of their "powerlessness".
Rich people certainly have the perception that it will be more effective and efficient to use the services of experts to solve a problem they are facing, in contrast to the poor who do not have the capacity to use the services of experts to deal with the problems they are experiencing.
In my opinion, helping the poor people may indeed feel more meaningful when it comes to their "powerlessness" problem. But it won't be easy and probably won't fully help them completely if we also don't have the capacity to help them with their "problems".