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Finding the Fourth Proportional to 206,688.57, 309,912.18 and 80,180.98

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Solution

The fourth proportional to 206,688.57, 309,912.18 and 80,180.98 is: 120,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,688.57 : 309,912.18 = 80,180.98 : x
  2. Step 2: Convert to fraction form
    206,688.57/309,912.18 = 80,180.98/x
  3. Step 3: Cross multiply
    206,688.57x = 309,912.18 × 80,180.98
  4. Step 4: Simplify right side
    206,688.57x = 24,849,062,306.34
  5. Step 5: Solve for x
    x = 24,849,062,306.34/206,688.57
  6. Step 6: Final answer
    x = 120,224.66

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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.