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Finding the Fourth Proportional to 71,134.60, 106,701.90 and 65,432.20

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Solution

The fourth proportional to 71,134.60, 106,701.90 and 65,432.20 is: 98,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.60 : 106,701.90 = 65,432.20 : x
  2. Step 2: Convert to fraction form
    71,134.60/106,701.90 = 65,432.20/x
  3. Step 3: Cross multiply
    71,134.60x = 106,701.90 × 65,432.20
  4. Step 4: Simplify right side
    71,134.60x = 6,981,740,061.18
  5. Step 5: Solve for x
    x = 6,981,740,061.18/71,134.60
  6. Step 6: Final answer
    x = 98,148.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.