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Finding the Fourth Proportional to 80,491, 120,743.16 and 25,087

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Solution

The fourth proportional to 80,491, 120,743.16 and 25,087 is: 37,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,491 : 120,743.16 = 25,087 : x
  2. Step 2: Convert to fraction form
    80,491/120,743.16 = 25,087/x
  3. Step 3: Cross multiply
    80,491x = 120,743.16 × 25,087
  4. Step 4: Simplify right side
    80,491x = 3,029,083,654.92
  5. Step 5: Solve for x
    x = 3,029,083,654.92/80,491
  6. Step 6: Final answer
    x = 37,632.58

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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.