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Finding the Fourth Proportional to 85,951.52, 118,614.13 and 47,711.82

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Solution

The fourth proportional to 85,951.52, 118,614.13 and 47,711.82 is: 65,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,951.52 : 118,614.13 = 47,711.82 : x
  2. Step 2: Convert to fraction form
    85,951.52/118,614.13 = 47,711.82/x
  3. Step 3: Cross multiply
    85,951.52x = 118,614.13 × 47,711.82
  4. Step 4: Simplify right side
    85,951.52x = 5,659,296,020.02
  5. Step 5: Solve for x
    x = 5,659,296,020.02/85,951.52
  6. Step 6: Final answer
    x = 65,842.88

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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.