Finding the Fourth Proportional to 105,851, 158,776.50 and 31,979

Step by Step Solution

1. Step 1: Write the proportion equation
   105,851 : 158,776.50 = 31,979 : x
2. Step 2: Convert to fraction form
   105,851/158,776.50 = 31,979/x
3. Step 3: Cross multiply
   105,851x = 158,776.50 × 31,979
4. Step 4: Simplify right side
   105,851x = 5,077,513,693.50
5. Step 5: Solve for x
   x = 5,077,513,693.50/105,851
6. Step 6: Final answer
   x = 47,968.50