If you provide something needed, you furnish it. You can furnish an answer to a question in an interview, furnish the snacks at a party, or furnish a room by filling it with couches and chairs. Just as furniture fills a room or a building, to furnish is to fill a need. Another word for furnish is "provide." A furnace furnishes heat (try saying that ten times fast). A job furnishes you with an income. Your parents furnish you with a place to live, furniture included.
Mr Walsh claimed there had been a failure to furnish him with reasonable particulars of the alleged complaints. IRISH TIMES (2002)
Ministers will no longer be paid from the supplies furnished by the French Court.