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Finding the Fourth Proportional to 221,680.20, 332,568.90 and 109,414.20

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Solution

The fourth proportional to 221,680.20, 332,568.90 and 109,414.20 is: 164,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,680.20 : 332,568.90 = 109,414.20 : x
  2. Step 2: Convert to fraction form
    221,680.20/332,568.90 = 109,414.20/x
  3. Step 3: Cross multiply
    221,680.20x = 332,568.90 × 109,414.20
  4. Step 4: Simplify right side
    221,680.20x = 36,387,760,138.38
  5. Step 5: Solve for x
    x = 36,387,760,138.38/221,680.20
  6. Step 6: Final answer
    x = 164,145.29

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1.5x scale

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.