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Finding the Fourth Proportional to 206,902.10, 310,061.55 and 127,781.30

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Solution

The fourth proportional to 206,902.10, 310,061.55 and 127,781.30 is: 191,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,902.10 : 310,061.55 = 127,781.30 : x
  2. Step 2: Convert to fraction form
    206,902.10/310,061.55 = 127,781.30/x
  3. Step 3: Cross multiply
    206,902.10x = 310,061.55 × 127,781.30
  4. Step 4: Simplify right side
    206,902.10x = 39,620,067,939.02
  5. Step 5: Solve for x
    x = 39,620,067,939.02/206,902.10
  6. Step 6: Final answer
    x = 191,491.86

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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.