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Finding the Fourth Proportional to 80,165.80, 120,184.62 and 38,024.68

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Solution

The fourth proportional to 80,165.80, 120,184.62 and 38,024.68 is: 57,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,165.80 : 120,184.62 = 38,024.68 : x
  2. Step 2: Convert to fraction form
    80,165.80/120,184.62 = 38,024.68/x
  3. Step 3: Cross multiply
    80,165.80x = 120,184.62 × 38,024.68
  4. Step 4: Simplify right side
    80,165.80x = 4,569,981,716.42
  5. Step 5: Solve for x
    x = 4,569,981,716.42/80,165.80
  6. Step 6: Final answer
    x = 57,006.63

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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.