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Finding the Fourth Proportional to 221,878.60, 332,591.10 and 109,385.80

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Solution

The fourth proportional to 221,878.60, 332,591.10 and 109,385.80 is: 163,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,878.60 : 332,591.10 = 109,385.80 : x
  2. Step 2: Convert to fraction form
    221,878.60/332,591.10 = 109,385.80/x
  3. Step 3: Cross multiply
    221,878.60x = 332,591.10 × 109,385.80
  4. Step 4: Simplify right side
    221,878.60x = 36,380,743,546.38
  5. Step 5: Solve for x
    x = 36,380,743,546.38/221,878.60
  6. Step 6: Final answer
    x = 163,966.89

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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.