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Finding the Fourth Proportional to 69,872.76, 96,425.10 and 40,059

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Solution

The fourth proportional to 69,872.76, 96,425.10 and 40,059 is: 55,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,872.76 : 96,425.10 = 40,059 : x
  2. Step 2: Convert to fraction form
    69,872.76/96,425.10 = 40,059/x
  3. Step 3: Cross multiply
    69,872.76x = 96,425.10 × 40,059
  4. Step 4: Simplify right side
    69,872.76x = 3,862,693,080.90
  5. Step 5: Solve for x
    x = 3,862,693,080.90/69,872.76
  6. Step 6: Final answer
    x = 55,281.82

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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.