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Finding the Fourth Proportional to 71,546.64, 107,203.26 and 36,438

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Solution

The fourth proportional to 71,546.64, 107,203.26 and 36,438 is: 54,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546.64 : 107,203.26 = 36,438 : x
  2. Step 2: Convert to fraction form
    71,546.64/107,203.26 = 36,438/x
  3. Step 3: Cross multiply
    71,546.64x = 107,203.26 × 36,438
  4. Step 4: Simplify right side
    71,546.64x = 3,906,272,387.88
  5. Step 5: Solve for x
    x = 3,906,272,387.88/71,546.64
  6. Step 6: Final answer
    x = 54,597.57

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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.