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Finding the Fourth Proportional to 82,046.30, 123,069.45 and 81,527.90

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Solution

The fourth proportional to 82,046.30, 123,069.45 and 81,527.90 is: 122,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,046.30 : 123,069.45 = 81,527.90 : x
  2. Step 2: Convert to fraction form
    82,046.30/123,069.45 = 81,527.90/x
  3. Step 3: Cross multiply
    82,046.30x = 123,069.45 × 81,527.90
  4. Step 4: Simplify right side
    82,046.30x = 10,033,593,812.66
  5. Step 5: Solve for x
    x = 10,033,593,812.66/82,046.30
  6. Step 6: Final answer
    x = 122,291.85

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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.