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Finding the Fourth Proportional to 80,375.78, 120,547.20 and 30,438.66

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Solution

The fourth proportional to 80,375.78, 120,547.20 and 30,438.66 is: 45,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,375.78 : 120,547.20 = 30,438.66 : x
  2. Step 2: Convert to fraction form
    80,375.78/120,547.20 = 30,438.66/x
  3. Step 3: Cross multiply
    80,375.78x = 120,547.20 × 30,438.66
  4. Step 4: Simplify right side
    80,375.78x = 3,669,295,234.75
  5. Step 5: Solve for x
    x = 3,669,295,234.75/80,375.78
  6. Step 6: Final answer
    x = 45,651.75

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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.