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Finding the Fourth Proportional to 127,951.28, 191,960.95 and 43,711.31

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Solution

The fourth proportional to 127,951.28, 191,960.95 and 43,711.31 is: 65,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,951.28 : 191,960.95 = 43,711.31 : x
  2. Step 2: Convert to fraction form
    127,951.28/191,960.95 = 43,711.31/x
  3. Step 3: Cross multiply
    127,951.28x = 191,960.95 × 43,711.31
  4. Step 4: Simplify right side
    127,951.28x = 8,390,864,593.34
  5. Step 5: Solve for x
    x = 8,390,864,593.34/127,951.28
  6. Step 6: Final answer
    x = 65,578.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.