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Finding the Fourth Proportional to 206,584.32, 309,874.86 and 136,446.96

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Solution

The fourth proportional to 206,584.32, 309,874.86 and 136,446.96 is: 204,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584.32 : 309,874.86 = 136,446.96 : x
  2. Step 2: Convert to fraction form
    206,584.32/309,874.86 = 136,446.96/x
  3. Step 3: Cross multiply
    206,584.32x = 309,874.86 × 136,446.96
  4. Step 4: Simplify right side
    206,584.32x = 42,281,482,627.43
  5. Step 5: Solve for x
    x = 42,281,482,627.43/206,584.32
  6. Step 6: Final answer
    x = 204,669.37

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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.