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Finding the Fourth Proportional to 80,424.43, 120,590.47 and 30,472.71

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Solution

The fourth proportional to 80,424.43, 120,590.47 and 30,472.71 is: 45,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,424.43 : 120,590.47 = 30,472.71 : x
  2. Step 2: Convert to fraction form
    80,424.43/120,590.47 = 30,472.71/x
  3. Step 3: Cross multiply
    80,424.43x = 120,590.47 × 30,472.71
  4. Step 4: Simplify right side
    80,424.43x = 3,674,718,006.95
  5. Step 5: Solve for x
    x = 3,674,718,006.95/80,424.43
  6. Step 6: Final answer
    x = 45,691.57

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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.