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Finding the Fourth Proportional to 71,351.74, 106,446.56 and 65,565.78

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Solution

The fourth proportional to 71,351.74, 106,446.56 and 65,565.78 is: 97,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,351.74 : 106,446.56 = 65,565.78 : x
  2. Step 2: Convert to fraction form
    71,351.74/106,446.56 = 65,565.78/x
  3. Step 3: Cross multiply
    71,351.74x = 106,446.56 × 65,565.78
  4. Step 4: Simplify right side
    71,351.74x = 6,979,251,734.72
  5. Step 5: Solve for x
    x = 6,979,251,734.72/71,351.74
  6. Step 6: Final answer
    x = 97,814.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.