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Finding the Fourth Proportional to 120,144.87, 180,217.31 and 45,281.82

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Solution

The fourth proportional to 120,144.87, 180,217.31 and 45,281.82 is: 67,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,144.87 : 180,217.31 = 45,281.82 : x
  2. Step 2: Convert to fraction form
    120,144.87/180,217.31 = 45,281.82/x
  3. Step 3: Cross multiply
    120,144.87x = 180,217.31 × 45,281.82
  4. Step 4: Simplify right side
    120,144.87x = 8,160,567,227.99
  5. Step 5: Solve for x
    x = 8,160,567,227.99/120,144.87
  6. Step 6: Final answer
    x = 67,922.73

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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.