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Finding the Fourth Proportional to 83,115.82, 114,702.87 and 47,308.78

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Solution

The fourth proportional to 83,115.82, 114,702.87 and 47,308.78 is: 65,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,115.82 : 114,702.87 = 47,308.78 : x
  2. Step 2: Convert to fraction form
    83,115.82/114,702.87 = 47,308.78/x
  3. Step 3: Cross multiply
    83,115.82x = 114,702.87 × 47,308.78
  4. Step 4: Simplify right side
    83,115.82x = 5,426,452,842.20
  5. Step 5: Solve for x
    x = 5,426,452,842.20/83,115.82
  6. Step 6: Final answer
    x = 65,287.85

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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.