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Finding the Fourth Proportional to 138,578.46, 207,945.66 and 75,403.14

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Solution

The fourth proportional to 138,578.46, 207,945.66 and 75,403.14 is: 113,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,578.46 : 207,945.66 = 75,403.14 : x
  2. Step 2: Convert to fraction form
    138,578.46/207,945.66 = 75,403.14/x
  3. Step 3: Cross multiply
    138,578.46x = 207,945.66 × 75,403.14
  4. Step 4: Simplify right side
    138,578.46x = 15,679,755,713.37
  5. Step 5: Solve for x
    x = 15,679,755,713.37/138,578.46
  6. Step 6: Final answer
    x = 113,147.13

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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.