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Finding the Fourth Proportional to 51,540, 71,125.20 and 29,188.32

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Solution

The fourth proportional to 51,540, 71,125.20 and 29,188.32 is: 40,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,540 : 71,125.20 = 29,188.32 : x
  2. Step 2: Convert to fraction form
    51,540/71,125.20 = 29,188.32/x
  3. Step 3: Cross multiply
    51,540x = 71,125.20 × 29,188.32
  4. Step 4: Simplify right side
    51,540x = 2,076,025,097.66
  5. Step 5: Solve for x
    x = 2,076,025,097.66/51,540
  6. Step 6: Final answer
    x = 40,279.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.