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Finding the Fourth Proportional to 78,281.88, 117,442.86 and 25,691.82

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Solution

The fourth proportional to 78,281.88, 117,442.86 and 25,691.82 is: 38,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,281.88 : 117,442.86 = 25,691.82 : x
  2. Step 2: Convert to fraction form
    78,281.88/117,442.86 = 25,691.82/x
  3. Step 3: Cross multiply
    78,281.88x = 117,442.86 × 25,691.82
  4. Step 4: Simplify right side
    78,281.88x = 3,017,320,819.41
  5. Step 5: Solve for x
    x = 3,017,320,819.41/78,281.88
  6. Step 6: Final answer
    x = 38,544.31

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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.