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Finding the Fourth Proportional to 206,101.20, 309,151.80 and 171,109.20

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Solution

The fourth proportional to 206,101.20, 309,151.80 and 171,109.20 is: 256,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,101.20 : 309,151.80 = 171,109.20 : x
  2. Step 2: Convert to fraction form
    206,101.20/309,151.80 = 171,109.20/x
  3. Step 3: Cross multiply
    206,101.20x = 309,151.80 × 171,109.20
  4. Step 4: Simplify right side
    206,101.20x = 52,898,717,176.56
  5. Step 5: Solve for x
    x = 52,898,717,176.56/206,101.20
  6. Step 6: Final answer
    x = 256,663.80

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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.