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Finding the Fourth Proportional to 71,706.31, 98,952.12 and 39,874.53

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Solution

The fourth proportional to 71,706.31, 98,952.12 and 39,874.53 is: 55,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706.31 : 98,952.12 = 39,874.53 : x
  2. Step 2: Convert to fraction form
    71,706.31/98,952.12 = 39,874.53/x
  3. Step 3: Cross multiply
    71,706.31x = 98,952.12 × 39,874.53
  4. Step 4: Simplify right side
    71,706.31x = 3,945,669,277.50
  5. Step 5: Solve for x
    x = 3,945,669,277.50/71,706.31
  6. Step 6: Final answer
    x = 55,025.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.