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Finding the Fourth Proportional to 161,319.57, 242,028.59 and 82,489.17

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Solution

The fourth proportional to 161,319.57, 242,028.59 and 82,489.17 is: 123,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,319.57 : 242,028.59 = 82,489.17 : x
  2. Step 2: Convert to fraction form
    161,319.57/242,028.59 = 82,489.17/x
  3. Step 3: Cross multiply
    161,319.57x = 242,028.59 × 82,489.17
  4. Step 4: Simplify right side
    161,319.57x = 19,964,737,092.92
  5. Step 5: Solve for x
    x = 19,964,737,092.92/161,319.57
  6. Step 6: Final answer
    x = 123,758.93

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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.