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Finding the Fourth Proportional to 80,322.52, 120,320.16 and 38,074.54

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Solution

The fourth proportional to 80,322.52, 120,320.16 and 38,074.54 is: 57,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,322.52 : 120,320.16 = 38,074.54 : x
  2. Step 2: Convert to fraction form
    80,322.52/120,320.16 = 38,074.54/x
  3. Step 3: Cross multiply
    80,322.52x = 120,320.16 × 38,074.54
  4. Step 4: Simplify right side
    80,322.52x = 4,581,134,744.73
  5. Step 5: Solve for x
    x = 4,581,134,744.73/80,322.52
  6. Step 6: Final answer
    x = 57,034.25

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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.