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Finding the Fourth Proportional to 100,454.76, 138,646.68 and 66,463.92

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Solution

The fourth proportional to 100,454.76, 138,646.68 and 66,463.92 is: 91,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,454.76 : 138,646.68 = 66,463.92 : x
  2. Step 2: Convert to fraction form
    100,454.76/138,646.68 = 66,463.92/x
  3. Step 3: Cross multiply
    100,454.76x = 138,646.68 × 66,463.92
  4. Step 4: Simplify right side
    100,454.76x = 9,215,001,847.79
  5. Step 5: Solve for x
    x = 9,215,001,847.79/100,454.76
  6. Step 6: Final answer
    x = 91,732.85

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1.5x scale

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.