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Finding the Fourth Proportional to 80,225.42, 120,375 and 30,322.85

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Solution

The fourth proportional to 80,225.42, 120,375 and 30,322.85 is: 45,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,225.42 : 120,375 = 30,322.85 : x
  2. Step 2: Convert to fraction form
    80,225.42/120,375 = 30,322.85/x
  3. Step 3: Cross multiply
    80,225.42x = 120,375 × 30,322.85
  4. Step 4: Simplify right side
    80,225.42x = 3,650,112,466.88
  5. Step 5: Solve for x
    x = 3,650,112,466.88/80,225.42
  6. Step 6: Final answer
    x = 45,498.21

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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.