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Finding the Fourth Proportional to 80,104.88, 120,165.54 and 30,226.95

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Solution

The fourth proportional to 80,104.88, 120,165.54 and 30,226.95 is: 45,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,104.88 : 120,165.54 = 30,226.95 : x
  2. Step 2: Convert to fraction form
    80,104.88/120,165.54 = 30,226.95/x
  3. Step 3: Cross multiply
    80,104.88x = 120,165.54 × 30,226.95
  4. Step 4: Simplify right side
    80,104.88x = 3,632,237,769.30
  5. Step 5: Solve for x
    x = 3,632,237,769.30/80,104.88
  6. Step 6: Final answer
    x = 45,343.53

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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.