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Finding the Fourth Proportional to 221,711.20, 332,815.57 and 88,684.20

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Solution

The fourth proportional to 221,711.20, 332,815.57 and 88,684.20 is: 133,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,711.20 : 332,815.57 = 88,684.20 : x
  2. Step 2: Convert to fraction form
    221,711.20/332,815.57 = 88,684.20/x
  3. Step 3: Cross multiply
    221,711.20x = 332,815.57 × 88,684.20
  4. Step 4: Simplify right side
    221,711.20x = 29,515,482,351.28
  5. Step 5: Solve for x
    x = 29,515,482,351.28/221,711.20
  6. Step 6: Final answer
    x = 133,125.81

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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.