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Finding the Fourth Proportional to 221,743.92, 332,408.52 and 81,464.88

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Solution

The fourth proportional to 221,743.92, 332,408.52 and 81,464.88 is: 122,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,743.92 : 332,408.52 = 81,464.88 : x
  2. Step 2: Convert to fraction form
    221,743.92/332,408.52 = 81,464.88/x
  3. Step 3: Cross multiply
    221,743.92x = 332,408.52 × 81,464.88
  4. Step 4: Simplify right side
    221,743.92x = 27,079,620,192.78
  5. Step 5: Solve for x
    x = 27,079,620,192.78/221,743.92
  6. Step 6: Final answer
    x = 122,121.14

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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.