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Finding the Fourth Proportional to 138,644.81, 191,329.96 and 74,982.61

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Solution

The fourth proportional to 138,644.81, 191,329.96 and 74,982.61 is: 103,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644.81 : 191,329.96 = 74,982.61 : x
  2. Step 2: Convert to fraction form
    138,644.81/191,329.96 = 74,982.61/x
  3. Step 3: Cross multiply
    138,644.81x = 191,329.96 × 74,982.61
  4. Step 4: Simplify right side
    138,644.81x = 14,346,419,002.80
  5. Step 5: Solve for x
    x = 14,346,419,002.80/138,644.81
  6. Step 6: Final answer
    x = 103,476.06

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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.