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Finding the Fourth Proportional to 91,937.32, 138,022.62 and 78,173.80

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Solution

The fourth proportional to 91,937.32, 138,022.62 and 78,173.80 is: 117,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,937.32 : 138,022.62 = 78,173.80 : x
  2. Step 2: Convert to fraction form
    91,937.32/138,022.62 = 78,173.80/x
  3. Step 3: Cross multiply
    91,937.32x = 138,022.62 × 78,173.80
  4. Step 4: Simplify right side
    91,937.32x = 10,789,752,691.36
  5. Step 5: Solve for x
    x = 10,789,752,691.36/91,937.32
  6. Step 6: Final answer
    x = 117,359.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.