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Finding the Fourth Proportional to 80,319.75, 120,495.96 and 27,722.40

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Solution

The fourth proportional to 80,319.75, 120,495.96 and 27,722.40 is: 41,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,319.75 : 120,495.96 = 27,722.40 : x
  2. Step 2: Convert to fraction form
    80,319.75/120,495.96 = 27,722.40/x
  3. Step 3: Cross multiply
    80,319.75x = 120,495.96 × 27,722.40
  4. Step 4: Simplify right side
    80,319.75x = 3,340,437,201.50
  5. Step 5: Solve for x
    x = 3,340,437,201.50/80,319.75
  6. Step 6: Final answer
    x = 41,589.24

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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.