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Finding the Fourth Proportional to 80,419.30, 120,589.88 and 24,249

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Solution

The fourth proportional to 80,419.30, 120,589.88 and 24,249 is: 36,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,419.30 : 120,589.88 = 24,249 : x
  2. Step 2: Convert to fraction form
    80,419.30/120,589.88 = 24,249/x
  3. Step 3: Cross multiply
    80,419.30x = 120,589.88 × 24,249
  4. Step 4: Simplify right side
    80,419.30x = 2,924,184,000.12
  5. Step 5: Solve for x
    x = 2,924,184,000.12/80,419.30
  6. Step 6: Final answer
    x = 36,361.72

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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.