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Finding the Fourth Proportional to 80,517, 120,788.70 and 33,119.24

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Solution

The fourth proportional to 80,517, 120,788.70 and 33,119.24 is: 49,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,517 : 120,788.70 = 33,119.24 : x
  2. Step 2: Convert to fraction form
    80,517/120,788.70 = 33,119.24/x
  3. Step 3: Cross multiply
    80,517x = 120,788.70 × 33,119.24
  4. Step 4: Simplify right side
    80,517x = 4,000,430,246.56
  5. Step 5: Solve for x
    x = 4,000,430,246.56/80,517
  6. Step 6: Final answer
    x = 49,684.29

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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.