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Finding the Fourth Proportional to 80,649.42, 120,998.72 and 41,234.22

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Solution

The fourth proportional to 80,649.42, 120,998.72 and 41,234.22 is: 61,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,649.42 : 120,998.72 = 41,234.22 : x
  2. Step 2: Convert to fraction form
    80,649.42/120,998.72 = 41,234.22/x
  3. Step 3: Cross multiply
    80,649.42x = 120,998.72 × 41,234.22
  4. Step 4: Simplify right side
    80,649.42x = 4,989,287,840.20
  5. Step 5: Solve for x
    x = 4,989,287,840.20/80,649.42
  6. Step 6: Final answer
    x = 61,863.90

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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.