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Finding the Fourth Proportional to 138,186.32, 207,391.16 and 71,645.48

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Solution

The fourth proportional to 138,186.32, 207,391.16 and 71,645.48 is: 107,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,186.32 : 207,391.16 = 71,645.48 : x
  2. Step 2: Convert to fraction form
    138,186.32/207,391.16 = 71,645.48/x
  3. Step 3: Cross multiply
    138,186.32x = 207,391.16 × 71,645.48
  4. Step 4: Simplify right side
    138,186.32x = 14,858,639,205.96
  5. Step 5: Solve for x
    x = 14,858,639,205.96/138,186.32
  6. Step 6: Final answer
    x = 107,526.12

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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.