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Finding the Fourth Proportional to 206,251.20, 309,376.80 and 146,116.80

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Solution

The fourth proportional to 206,251.20, 309,376.80 and 146,116.80 is: 219,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,251.20 : 309,376.80 = 146,116.80 : x
  2. Step 2: Convert to fraction form
    206,251.20/309,376.80 = 146,116.80/x
  3. Step 3: Cross multiply
    206,251.20x = 309,376.80 × 146,116.80
  4. Step 4: Simplify right side
    206,251.20x = 45,205,148,010.24
  5. Step 5: Solve for x
    x = 45,205,148,010.24/206,251.20
  6. Step 6: Final answer
    x = 219,175.20

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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.