A ratcheting mounting device has a substantially rigid base that is formed with a receptor surface projected above a foot portion that is structured with one or more through holes for securing the base to an external surface such as a floor or wall; a substantially rigid ratcheting coupler that is formed with an insertion surface and an appendage coupler for securing an appendage thereto; a plurality of cooperating radially extended teeth and radially extended sockets arranged between the respective receptor and insertion surfaces of the base and ratcheting coupler for orienting the surface of the ratcheting coupler relative to the surface of the base in different stepwise angular orientations; and a clamping mechanism that is structured for constraining the respective receptor and insertion surfaces of the base and ratcheting coupler in different angular relationships.