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Finding the Fourth Proportional to 208,960.92, 288,489.12 and 127,319.97

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Solution

The fourth proportional to 208,960.92, 288,489.12 and 127,319.97 is: 175,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,960.92 : 288,489.12 = 127,319.97 : x
  2. Step 2: Convert to fraction form
    208,960.92/288,489.12 = 127,319.97/x
  3. Step 3: Cross multiply
    208,960.92x = 288,489.12 × 127,319.97
  4. Step 4: Simplify right side
    208,960.92x = 36,730,426,103.73
  5. Step 5: Solve for x
    x = 36,730,426,103.73/208,960.92
  6. Step 6: Final answer
    x = 175,776.53

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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.