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Finding the Fourth Proportional to 80,643.80, 120,908.10 and 36,234.20

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Solution

The fourth proportional to 80,643.80, 120,908.10 and 36,234.20 is: 54,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,643.80 : 120,908.10 = 36,234.20 : x
  2. Step 2: Convert to fraction form
    80,643.80/120,908.10 = 36,234.20/x
  3. Step 3: Cross multiply
    80,643.80x = 120,908.10 × 36,234.20
  4. Step 4: Simplify right side
    80,643.80x = 4,381,008,277.02
  5. Step 5: Solve for x
    x = 4,381,008,277.02/80,643.80
  6. Step 6: Final answer
    x = 54,325.42

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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.