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Finding the Fourth Proportional to 206,199.30, 309,223.08 and 71,229.02

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Solution

The fourth proportional to 206,199.30, 309,223.08 and 71,229.02 is: 106,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,199.30 : 309,223.08 = 71,229.02 : x
  2. Step 2: Convert to fraction form
    206,199.30/309,223.08 = 71,229.02/x
  3. Step 3: Cross multiply
    206,199.30x = 309,223.08 × 71,229.02
  4. Step 4: Simplify right side
    206,199.30x = 22,025,656,949.78
  5. Step 5: Solve for x
    x = 22,025,656,949.78/206,199.30
  6. Step 6: Final answer
    x = 106,817.32

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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.