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Finding the Fourth Proportional to 151,729.92, 227,640.44 and 71,828.78

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Solution

The fourth proportional to 151,729.92, 227,640.44 and 71,828.78 is: 107,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,729.92 : 227,640.44 = 71,828.78 : x
  2. Step 2: Convert to fraction form
    151,729.92/227,640.44 = 71,828.78/x
  3. Step 3: Cross multiply
    151,729.92x = 227,640.44 × 71,828.78
  4. Step 4: Simplify right side
    151,729.92x = 16,351,135,293.82
  5. Step 5: Solve for x
    x = 16,351,135,293.82/151,729.92
  6. Step 6: Final answer
    x = 107,764.74

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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.