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Finding the Fourth Proportional to 80,120, 120,170.82 and 20,961.38

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Solution

The fourth proportional to 80,120, 120,170.82 and 20,961.38 is: 31,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,120 : 120,170.82 = 20,961.38 : x
  2. Step 2: Convert to fraction form
    80,120/120,170.82 = 20,961.38/x
  3. Step 3: Cross multiply
    80,120x = 120,170.82 × 20,961.38
  4. Step 4: Simplify right side
    80,120x = 2,518,946,118.12
  5. Step 5: Solve for x
    x = 2,518,946,118.12/80,120
  6. Step 6: Final answer
    x = 31,439.67

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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.