Asking for Support

I have always wanted to be like Hudson Taylor who trusted God for every penny and never asked others for a penny. As a missionary, you pretty much start out your career asking for money full time by presenting your ministry. So now that we are here, if we lack money, do we ask men or God? I was talking to a friend about this and said that I did not think that I had the faith to just trust God as Taylor did. He was in situations where he gave away his last coin. I have never been in a situation like that. God has always provided beforehand for me.
So the question I pose to you all is: at what point do you ask others for help, or should that point never happen because we are just supposed to trust God?