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Finding the Fourth Proportional to 71,543.78, 98,734.90 and 39,713.20

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Solution

The fourth proportional to 71,543.78, 98,734.90 and 39,713.20 is: 54,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,543.78 : 98,734.90 = 39,713.20 : x
  2. Step 2: Convert to fraction form
    71,543.78/98,734.90 = 39,713.20/x
  3. Step 3: Cross multiply
    71,543.78x = 98,734.90 × 39,713.20
  4. Step 4: Simplify right side
    71,543.78x = 3,921,078,830.68
  5. Step 5: Solve for x
    x = 3,921,078,830.68/71,543.78
  6. Step 6: Final answer
    x = 54,806.70

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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.