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Finding the Fourth Proportional to 121,229.92, 181,873.48 and 38,123.92

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Solution

The fourth proportional to 121,229.92, 181,873.48 and 38,123.92 is: 57,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,229.92 : 181,873.48 = 38,123.92 : x
  2. Step 2: Convert to fraction form
    121,229.92/181,873.48 = 38,123.92/x
  3. Step 3: Cross multiply
    121,229.92x = 181,873.48 × 38,123.92
  4. Step 4: Simplify right side
    121,229.92x = 6,933,730,001.64
  5. Step 5: Solve for x
    x = 6,933,730,001.64/121,229.92
  6. Step 6: Final answer
    x = 57,194.87

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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.