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Finding the Fourth Proportional to 161,310.20, 242,014.52 and 82,479.78

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Solution

The fourth proportional to 161,310.20, 242,014.52 and 82,479.78 is: 123,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,310.20 : 242,014.52 = 82,479.78 : x
  2. Step 2: Convert to fraction form
    161,310.20/242,014.52 = 82,479.78/x
  3. Step 3: Cross multiply
    161,310.20x = 242,014.52 × 82,479.78
  4. Step 4: Simplify right side
    161,310.20x = 19,961,304,572.61
  5. Step 5: Solve for x
    x = 19,961,304,572.61/161,310.20
  6. Step 6: Final answer
    x = 123,744.84

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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.