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Finding the Fourth Proportional to 206,377.91, 284,680.54 and 129,775.49

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Solution

The fourth proportional to 206,377.91, 284,680.54 and 129,775.49 is: 179,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,377.91 : 284,680.54 = 129,775.49 : x
  2. Step 2: Convert to fraction form
    206,377.91/284,680.54 = 129,775.49/x
  3. Step 3: Cross multiply
    206,377.91x = 284,680.54 × 129,775.49
  4. Step 4: Simplify right side
    206,377.91x = 36,944,556,571.96
  5. Step 5: Solve for x
    x = 36,944,556,571.96/206,377.91
  6. Step 6: Final answer
    x = 179,014.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.