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Finding the Fourth Proportional to 271,165.20, 406,745.67 and 81,624.75

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Solution

The fourth proportional to 271,165.20, 406,745.67 and 81,624.75 is: 122,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,165.20 : 406,745.67 = 81,624.75 : x
  2. Step 2: Convert to fraction form
    271,165.20/406,745.67 = 81,624.75/x
  3. Step 3: Cross multiply
    271,165.20x = 406,745.67 × 81,624.75
  4. Step 4: Simplify right side
    271,165.20x = 33,200,513,627.33
  5. Step 5: Solve for x
    x = 33,200,513,627.33/271,165.20
  6. Step 6: Final answer
    x = 122,436.48

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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.