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Finding the Fourth Proportional to 71,543.28, 98,734.20 and 39,712.71

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Solution

The fourth proportional to 71,543.28, 98,734.20 and 39,712.71 is: 54,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543.28 : 98,734.20 = 39,712.71 : x
  2. Step 2: Convert to fraction form
    71,543.28/98,734.20 = 39,712.71/x
  3. Step 3: Cross multiply
    71,543.28x = 98,734.20 × 39,712.71
  4. Step 4: Simplify right side
    71,543.28x = 3,921,002,651.68
  5. Step 5: Solve for x
    x = 3,921,002,651.68/71,543.28
  6. Step 6: Final answer
    x = 54,806.02

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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.