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Finding the Fourth Proportional to 80,397.92, 120,580.36 and 30,460.80

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Solution

The fourth proportional to 80,397.92, 120,580.36 and 30,460.80 is: 45,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,397.92 : 120,580.36 = 30,460.80 : x
  2. Step 2: Convert to fraction form
    80,397.92/120,580.36 = 30,460.80/x
  3. Step 3: Cross multiply
    80,397.92x = 120,580.36 × 30,460.80
  4. Step 4: Simplify right side
    80,397.92x = 3,672,974,229.89
  5. Step 5: Solve for x
    x = 3,672,974,229.89/80,397.92
  6. Step 6: Final answer
    x = 45,684.94

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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.