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Finding the Fourth Proportional to 138,658.56, 191,348.37 and 74,996.34

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Solution

The fourth proportional to 138,658.56, 191,348.37 and 74,996.34 is: 103,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,658.56 : 191,348.37 = 74,996.34 : x
  2. Step 2: Convert to fraction form
    138,658.56/191,348.37 = 74,996.34/x
  3. Step 3: Cross multiply
    138,658.56x = 191,348.37 × 74,996.34
  4. Step 4: Simplify right side
    138,658.56x = 14,350,427,414.97
  5. Step 5: Solve for x
    x = 14,350,427,414.97/138,658.56
  6. Step 6: Final answer
    x = 103,494.71

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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.