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Finding the Fourth Proportional to 206,407.71, 284,721.66 and 129,805.30

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Solution

The fourth proportional to 206,407.71, 284,721.66 and 129,805.30 is: 179,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,407.71 : 284,721.66 = 129,805.30 : x
  2. Step 2: Convert to fraction form
    206,407.71/284,721.66 = 129,805.30/x
  3. Step 3: Cross multiply
    206,407.71x = 284,721.66 × 129,805.30
  4. Step 4: Simplify right side
    206,407.71x = 36,958,380,103.88
  5. Step 5: Solve for x
    x = 36,958,380,103.88/206,407.71
  6. Step 6: Final answer
    x = 179,055.23

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1.5x scale

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.