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Finding the Fourth Proportional to 138,233.75, 207,378.29 and 43,487.78

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Solution

The fourth proportional to 138,233.75, 207,378.29 and 43,487.78 is: 65,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,233.75 : 207,378.29 = 43,487.78 : x
  2. Step 2: Convert to fraction form
    138,233.75/207,378.29 = 43,487.78/x
  3. Step 3: Cross multiply
    138,233.75x = 207,378.29 × 43,487.78
  4. Step 4: Simplify right side
    138,233.75x = 9,018,420,524.12
  5. Step 5: Solve for x
    x = 9,018,420,524.12/138,233.75
  6. Step 6: Final answer
    x = 65,240.37

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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.