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Finding the Fourth Proportional to 51,742, 71,404.05 and 29,386

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Solution

The fourth proportional to 51,742, 71,404.05 and 29,386 is: 40,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,742 : 71,404.05 = 29,386 : x
  2. Step 2: Convert to fraction form
    51,742/71,404.05 = 29,386/x
  3. Step 3: Cross multiply
    51,742x = 71,404.05 × 29,386
  4. Step 4: Simplify right side
    51,742x = 2,098,279,413.30
  5. Step 5: Solve for x
    x = 2,098,279,413.30/51,742
  6. Step 6: Final answer
    x = 40,552.73

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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.