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Finding the Fourth Proportional to 221,680.82, 332,652.46 and 81,537.86

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Solution

The fourth proportional to 221,680.82, 332,652.46 and 81,537.86 is: 122,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,680.82 : 332,652.46 = 81,537.86 : x
  2. Step 2: Convert to fraction form
    221,680.82/332,652.46 = 81,537.86/x
  3. Step 3: Cross multiply
    221,680.82x = 332,652.46 × 81,537.86
  4. Step 4: Simplify right side
    221,680.82x = 27,123,769,712.14
  5. Step 5: Solve for x
    x = 27,123,769,712.14/221,680.82
  6. Step 6: Final answer
    x = 122,355.06

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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.