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Finding the Fourth Proportional to 139,915.26, 193,078.17 and 76,251.78

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Solution

The fourth proportional to 139,915.26, 193,078.17 and 76,251.78 is: 105,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,915.26 : 193,078.17 = 76,251.78 : x
  2. Step 2: Convert to fraction form
    139,915.26/193,078.17 = 76,251.78/x
  3. Step 3: Cross multiply
    139,915.26x = 193,078.17 × 76,251.78
  4. Step 4: Simplify right side
    139,915.26x = 14,722,554,141.64
  5. Step 5: Solve for x
    x = 14,722,554,141.64/139,915.26
  6. Step 6: Final answer
    x = 105,224.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.