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Finding the Fourth Proportional to 206,585.40, 309,906.90 and 88,255.80

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Solution

The fourth proportional to 206,585.40, 309,906.90 and 88,255.80 is: 132,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,585.40 : 309,906.90 = 88,255.80 : x
  2. Step 2: Convert to fraction form
    206,585.40/309,906.90 = 88,255.80/x
  3. Step 3: Cross multiply
    206,585.40x = 309,906.90 × 88,255.80
  4. Step 4: Simplify right side
    206,585.40x = 27,351,081,385.02
  5. Step 5: Solve for x
    x = 27,351,081,385.02/206,585.40
  6. Step 6: Final answer
    x = 132,396.00

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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.