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Finding the Fourth Proportional to 221,731.92, 332,390.52 and 81,452.88

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Solution

The fourth proportional to 221,731.92, 332,390.52 and 81,452.88 is: 122,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,731.92 : 332,390.52 = 81,452.88 : x
  2. Step 2: Convert to fraction form
    221,731.92/332,390.52 = 81,452.88/x
  3. Step 3: Cross multiply
    221,731.92x = 332,390.52 × 81,452.88
  4. Step 4: Simplify right side
    221,731.92x = 27,074,165,138.70
  5. Step 5: Solve for x
    x = 27,074,165,138.70/221,731.92
  6. Step 6: Final answer
    x = 122,103.15

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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.