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Finding the Fourth Proportional to 271,129.80, 406,659.96 and 71,465.88

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Solution

The fourth proportional to 271,129.80, 406,659.96 and 71,465.88 is: 107,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,129.80 : 406,659.96 = 71,465.88 : x
  2. Step 2: Convert to fraction form
    271,129.80/406,659.96 = 71,465.88/x
  3. Step 3: Cross multiply
    271,129.80x = 406,659.96 × 71,465.88
  4. Step 4: Simplify right side
    271,129.80x = 29,062,311,902.16
  5. Step 5: Solve for x
    x = 29,062,311,902.16/271,129.80
  6. Step 6: Final answer
    x = 107,189.66

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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.