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Finding the Fourth Proportional to 138,614.70, 207,922.05 and 75,629.10

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Solution

The fourth proportional to 138,614.70, 207,922.05 and 75,629.10 is: 113,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,614.70 : 207,922.05 = 75,629.10 : x
  2. Step 2: Convert to fraction form
    138,614.70/207,922.05 = 75,629.10/x
  3. Step 3: Cross multiply
    138,614.70x = 207,922.05 × 75,629.10
  4. Step 4: Simplify right side
    138,614.70x = 15,724,957,511.66
  5. Step 5: Solve for x
    x = 15,724,957,511.66/138,614.70
  6. Step 6: Final answer
    x = 113,443.65

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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.