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Finding the Fourth Proportional to 206,364.65, 309,546.97 and 136,227.56

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Solution

The fourth proportional to 206,364.65, 309,546.97 and 136,227.56 is: 204,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,364.65 : 309,546.97 = 136,227.56 : x
  2. Step 2: Convert to fraction form
    206,364.65/309,546.97 = 136,227.56/x
  3. Step 3: Cross multiply
    206,364.65x = 309,546.97 × 136,227.56
  4. Step 4: Simplify right side
    206,364.65x = 42,168,826,540.19
  5. Step 5: Solve for x
    x = 42,168,826,540.19/206,364.65
  6. Step 6: Final answer
    x = 204,341.33

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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.