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Finding the Fourth Proportional to 121,915.44, 182,879.28 and 38,815.92

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Solution

The fourth proportional to 121,915.44, 182,879.28 and 38,815.92 is: 58,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,915.44 : 182,879.28 = 38,815.92 : x
  2. Step 2: Convert to fraction form
    121,915.44/182,879.28 = 38,815.92/x
  3. Step 3: Cross multiply
    121,915.44x = 182,879.28 × 38,815.92
  4. Step 4: Simplify right side
    121,915.44x = 7,098,627,502.14
  5. Step 5: Solve for x
    x = 7,098,627,502.14/121,915.44
  6. Step 6: Final answer
    x = 58,225.83

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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.