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Finding the Fourth Proportional to 271,149.64, 406,722.33 and 81,609.19

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Solution

The fourth proportional to 271,149.64, 406,722.33 and 81,609.19 is: 122,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,149.64 : 406,722.33 = 81,609.19 : x
  2. Step 2: Convert to fraction form
    271,149.64/406,722.33 = 81,609.19/x
  3. Step 3: Cross multiply
    271,149.64x = 406,722.33 × 81,609.19
  4. Step 4: Simplify right side
    271,149.64x = 33,192,278,889.41
  5. Step 5: Solve for x
    x = 33,192,278,889.41/271,149.64
  6. Step 6: Final answer
    x = 122,413.14

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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.