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Finding the Fourth Proportional to 80,074.65, 120,125.79 and 32,715.48

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Solution

The fourth proportional to 80,074.65, 120,125.79 and 32,715.48 is: 49,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,074.65 : 120,125.79 = 32,715.48 : x
  2. Step 2: Convert to fraction form
    80,074.65/120,125.79 = 32,715.48/x
  3. Step 3: Cross multiply
    80,074.65x = 120,125.79 × 32,715.48
  4. Step 4: Simplify right side
    80,074.65x = 3,929,972,880.23
  5. Step 5: Solve for x
    x = 3,929,972,880.23/80,074.65
  6. Step 6: Final answer
    x = 49,078.86

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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.