Fats. Fat molecule s are made up of four parts: a molecule of glycerol (on the right) and. three molecule s of fatty acids. Fats consist of a wide group of compound s that are generally soluble in organ ic solvents and largely insoluble in water.Chemically, fats are generally triesters of glycerol and fatty acids. molecule of glycerol (on the right) and. three molecule s of fatty acids. Fats consist of a wide group of compound s that are generally soluble in organ ic solvents and largely insoluble in water.