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Finding the Fourth Proportional to 120,098.92, 165,713.70 and 75,366.76

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Solution

The fourth proportional to 120,098.92, 165,713.70 and 75,366.76 is: 103,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,098.92 : 165,713.70 = 75,366.76 : x
  2. Step 2: Convert to fraction form
    120,098.92/165,713.70 = 75,366.76/x
  3. Step 3: Cross multiply
    120,098.92x = 165,713.70 × 75,366.76
  4. Step 4: Simplify right side
    120,098.92x = 12,489,304,656.61
  5. Step 5: Solve for x
    x = 12,489,304,656.61/120,098.92
  6. Step 6: Final answer
    x = 103,991.81

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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.