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Finding the Fourth Proportional to 80,217, 120,331.98 and 24,813

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Solution

The fourth proportional to 80,217, 120,331.98 and 24,813 is: 37,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,217 : 120,331.98 = 24,813 : x
  2. Step 2: Convert to fraction form
    80,217/120,331.98 = 24,813/x
  3. Step 3: Cross multiply
    80,217x = 120,331.98 × 24,813
  4. Step 4: Simplify right side
    80,217x = 2,985,797,419.74
  5. Step 5: Solve for x
    x = 2,985,797,419.74/80,217
  6. Step 6: Final answer
    x = 37,221.50

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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.