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Finding the Fourth Proportional to 80,489.84, 120,739.20 and 24,328.53

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Solution

The fourth proportional to 80,489.84, 120,739.20 and 24,328.53 is: 36,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,489.84 : 120,739.20 = 24,328.53 : x
  2. Step 2: Convert to fraction form
    80,489.84/120,739.20 = 24,328.53/x
  3. Step 3: Cross multiply
    80,489.84x = 120,739.20 × 24,328.53
  4. Step 4: Simplify right side
    80,489.84x = 2,937,407,249.38
  5. Step 5: Solve for x
    x = 2,937,407,249.38/80,489.84
  6. Step 6: Final answer
    x = 36,494.14

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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.