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Finding the Fourth Proportional to 138,966.92, 191,773.70 and 75,304.76

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Solution

The fourth proportional to 138,966.92, 191,773.70 and 75,304.76 is: 103,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,966.92 : 191,773.70 = 75,304.76 : x
  2. Step 2: Convert to fraction form
    138,966.92/191,773.70 = 75,304.76/x
  3. Step 3: Cross multiply
    138,966.92x = 191,773.70 × 75,304.76
  4. Step 4: Simplify right side
    138,966.92x = 14,441,472,452.81
  5. Step 5: Solve for x
    x = 14,441,472,452.81/138,966.92
  6. Step 6: Final answer
    x = 103,920.22

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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.