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Finding the Fourth Proportional to 207,042.34, 285,728.70 and 126,456.82

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Solution

The fourth proportional to 207,042.34, 285,728.70 and 126,456.82 is: 174,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,042.34 : 285,728.70 = 126,456.82 : x
  2. Step 2: Convert to fraction form
    207,042.34/285,728.70 = 126,456.82/x
  3. Step 3: Cross multiply
    207,042.34x = 285,728.70 × 126,456.82
  4. Step 4: Simplify right side
    207,042.34x = 36,132,342,784.73
  5. Step 5: Solve for x
    x = 36,132,342,784.73/207,042.34
  6. Step 6: Final answer
    x = 174,516.68

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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.