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Finding the Fourth Proportional to 221,728.92, 332,386.02 and 81,449.88

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Solution

The fourth proportional to 221,728.92, 332,386.02 and 81,449.88 is: 122,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,728.92 : 332,386.02 = 81,449.88 : x
  2. Step 2: Convert to fraction form
    221,728.92/332,386.02 = 81,449.88/x
  3. Step 3: Cross multiply
    221,728.92x = 332,386.02 × 81,449.88
  4. Step 4: Simplify right side
    221,728.92x = 27,072,801,442.68
  5. Step 5: Solve for x
    x = 27,072,801,442.68/221,728.92
  6. Step 6: Final answer
    x = 122,098.65

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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.