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Finding the Fourth Proportional to 271,105.20, 406,584.90 and 81,565.20

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Solution

The fourth proportional to 271,105.20, 406,584.90 and 81,565.20 is: 122,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,105.20 : 406,584.90 = 81,565.20 : x
  2. Step 2: Convert to fraction form
    271,105.20/406,584.90 = 81,565.20/x
  3. Step 3: Cross multiply
    271,105.20x = 406,584.90 × 81,565.20
  4. Step 4: Simplify right side
    271,105.20x = 33,163,178,685.48
  5. Step 5: Solve for x
    x = 33,163,178,685.48/271,105.20
  6. Step 6: Final answer
    x = 122,325.87

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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.