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Finding the Fourth Proportional to 206,997.23, 310,495.85 and 66,755.85

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Solution

The fourth proportional to 206,997.23, 310,495.85 and 66,755.85 is: 100,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,997.23 : 310,495.85 = 66,755.85 : x
  2. Step 2: Convert to fraction form
    206,997.23/310,495.85 = 66,755.85/x
  3. Step 3: Cross multiply
    206,997.23x = 310,495.85 × 66,755.85
  4. Step 4: Simplify right side
    206,997.23x = 20,727,414,830.68
  5. Step 5: Solve for x
    x = 20,727,414,830.68/206,997.23
  6. Step 6: Final answer
    x = 100,133.78

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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.