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Finding the Fourth Proportional to 206,543.62, 285,122.72 and 126,003.25

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Solution

The fourth proportional to 206,543.62, 285,122.72 and 126,003.25 is: 173,940.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,543.62 : 285,122.72 = 126,003.25 : x
  2. Step 2: Convert to fraction form
    206,543.62/285,122.72 = 126,003.25/x
  3. Step 3: Cross multiply
    206,543.62x = 285,122.72 × 126,003.25
  4. Step 4: Simplify right side
    206,543.62x = 35,926,387,727.67
  5. Step 5: Solve for x
    x = 35,926,387,727.67/206,543.62
  6. Step 6: Final answer
    x = 173,940.92

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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.