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Finding the Fourth Proportional to 138,932.69, 191,727.31 and 75,270.49

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Solution

The fourth proportional to 138,932.69, 191,727.31 and 75,270.49 is: 103,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,932.69 : 191,727.31 = 75,270.49 : x
  2. Step 2: Convert to fraction form
    138,932.69/191,727.31 = 75,270.49/x
  3. Step 3: Cross multiply
    138,932.69x = 191,727.31 × 75,270.49
  4. Step 4: Simplify right side
    138,932.69x = 14,431,407,902.59
  5. Step 5: Solve for x
    x = 14,431,407,902.59/138,932.69
  6. Step 6: Final answer
    x = 103,873.38

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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.