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Finding the Fourth Proportional to 120,691.68, 180,884.31 and 54,129.12

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Solution

The fourth proportional to 120,691.68, 180,884.31 and 54,129.12 is: 81,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,691.68 : 180,884.31 = 54,129.12 : x
  2. Step 2: Convert to fraction form
    120,691.68/180,884.31 = 54,129.12/x
  3. Step 3: Cross multiply
    120,691.68x = 180,884.31 × 54,129.12
  4. Step 4: Simplify right side
    120,691.68x = 9,791,108,522.11
  5. Step 5: Solve for x
    x = 9,791,108,522.11/120,691.68
  6. Step 6: Final answer
    x = 81,124.97

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1.5x scale

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.