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Finding the Fourth Proportional to 78,481.60, 117,549.60 and 68,113.60

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Solution

The fourth proportional to 78,481.60, 117,549.60 and 68,113.60 is: 102,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.60 : 117,549.60 = 68,113.60 : x
  2. Step 2: Convert to fraction form
    78,481.60/117,549.60 = 68,113.60/x
  3. Step 3: Cross multiply
    78,481.60x = 117,549.60 × 68,113.60
  4. Step 4: Simplify right side
    78,481.60x = 8,006,726,434.56
  5. Step 5: Solve for x
    x = 8,006,726,434.56/78,481.60
  6. Step 6: Final answer
    x = 102,020.43

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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.