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Finding the Fourth Proportional to 78,481.80, 117,722.70 and 54,862.20

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Solution

The fourth proportional to 78,481.80, 117,722.70 and 54,862.20 is: 82,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.80 : 117,722.70 = 54,862.20 : x
  2. Step 2: Convert to fraction form
    78,481.80/117,722.70 = 54,862.20/x
  3. Step 3: Cross multiply
    78,481.80x = 117,722.70 × 54,862.20
  4. Step 4: Simplify right side
    78,481.80x = 6,458,526,311.94
  5. Step 5: Solve for x
    x = 6,458,526,311.94/78,481.80
  6. Step 6: Final answer
    x = 82,293.30

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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.