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Finding the Fourth Proportional to 82,687.90, 123,958 and 30,060.31

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Solution

The fourth proportional to 82,687.90, 123,958 and 30,060.31 is: 45,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,687.90 : 123,958 = 30,060.31 : x
  2. Step 2: Convert to fraction form
    82,687.90/123,958 = 30,060.31/x
  3. Step 3: Cross multiply
    82,687.90x = 123,958 × 30,060.31
  4. Step 4: Simplify right side
    82,687.90x = 3,726,215,906.98
  5. Step 5: Solve for x
    x = 3,726,215,906.98/82,687.90
  6. Step 6: Final answer
    x = 45,063.62

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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.