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Finding the Fourth Proportional to 206,822.70, 310,234.05 and 135,963.90

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Solution

The fourth proportional to 206,822.70, 310,234.05 and 135,963.90 is: 203,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,822.70 : 310,234.05 = 135,963.90 : x
  2. Step 2: Convert to fraction form
    206,822.70/310,234.05 = 135,963.90/x
  3. Step 3: Cross multiply
    206,822.70x = 310,234.05 × 135,963.90
  4. Step 4: Simplify right side
    206,822.70x = 42,180,631,350.80
  5. Step 5: Solve for x
    x = 42,180,631,350.80/206,822.70
  6. Step 6: Final answer
    x = 203,945.85

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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.