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Finding the Fourth Proportional to 78,481.20, 108,255.44 and 68,433.76

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Solution

The fourth proportional to 78,481.20, 108,255.44 and 68,433.76 is: 94,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.20 : 108,255.44 = 68,433.76 : x
  2. Step 2: Convert to fraction form
    78,481.20/108,255.44 = 68,433.76/x
  3. Step 3: Cross multiply
    78,481.20x = 108,255.44 × 68,433.76
  4. Step 4: Simplify right side
    78,481.20x = 7,408,326,799.65
  5. Step 5: Solve for x
    x = 7,408,326,799.65/78,481.20
  6. Step 6: Final answer
    x = 94,396.20

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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.