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Finding the Fourth Proportional to 271,102.75, 406,765.78 and 119,221.75

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Solution

The fourth proportional to 271,102.75, 406,765.78 and 119,221.75 is: 178,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,102.75 : 406,765.78 = 119,221.75 : x
  2. Step 2: Convert to fraction form
    271,102.75/406,765.78 = 119,221.75/x
  3. Step 3: Cross multiply
    271,102.75x = 406,765.78 × 119,221.75
  4. Step 4: Simplify right side
    271,102.75x = 48,495,327,772.29
  5. Step 5: Solve for x
    x = 48,495,327,772.29/271,102.75
  6. Step 6: Final answer
    x = 178,881.73

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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.