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Finding the Fourth Proportional to 80,102.67, 120,170.96 and 30,181.70

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Solution

The fourth proportional to 80,102.67, 120,170.96 and 30,181.70 is: 45,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,102.67 : 120,170.96 = 30,181.70 : x
  2. Step 2: Convert to fraction form
    80,102.67/120,170.96 = 30,181.70/x
  3. Step 3: Cross multiply
    80,102.67x = 120,170.96 × 30,181.70
  4. Step 4: Simplify right side
    80,102.67x = 3,626,963,111.67
  5. Step 5: Solve for x
    x = 3,626,963,111.67/80,102.67
  6. Step 6: Final answer
    x = 45,278.93

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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.