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Finding the Fourth Proportional to 138,454.65, 191,114.87 and 81,112.41

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Solution

The fourth proportional to 138,454.65, 191,114.87 and 81,112.41 is: 111,962.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,454.65 : 191,114.87 = 81,112.41 : x
  2. Step 2: Convert to fraction form
    138,454.65/191,114.87 = 81,112.41/x
  3. Step 3: Cross multiply
    138,454.65x = 191,114.87 × 81,112.41
  4. Step 4: Simplify right side
    138,454.65x = 15,501,787,286.97
  5. Step 5: Solve for x
    x = 15,501,787,286.97/138,454.65
  6. Step 6: Final answer
    x = 111,962.92

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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.