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Finding the Fourth Proportional to 206,578, 285,126.24 and 126,072.12

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Solution

The fourth proportional to 206,578, 285,126.24 and 126,072.12 is: 174,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578 : 285,126.24 = 126,072.12 : x
  2. Step 2: Convert to fraction form
    206,578/285,126.24 = 126,072.12/x
  3. Step 3: Cross multiply
    206,578x = 285,126.24 × 126,072.12
  4. Step 4: Simplify right side
    206,578x = 35,946,469,544.43
  5. Step 5: Solve for x
    x = 35,946,469,544.43/206,578
  6. Step 6: Final answer
    x = 174,009.19

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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.