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Finding the Fourth Proportional to 206,705.82, 285,285.22 and 126,180.20

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Solution

The fourth proportional to 206,705.82, 285,285.22 and 126,180.20 is: 174,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,705.82 : 285,285.22 = 126,180.20 : x
  2. Step 2: Convert to fraction form
    206,705.82/285,285.22 = 126,180.20/x
  3. Step 3: Cross multiply
    206,705.82x = 285,285.22 × 126,180.20
  4. Step 4: Simplify right side
    206,705.82x = 35,997,346,116.64
  5. Step 5: Solve for x
    x = 35,997,346,116.64/206,705.82
  6. Step 6: Final answer
    x = 174,147.71

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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.