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Finding the Fourth Proportional to 271,185.34, 406,731.78 and 71,507.70

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Solution

The fourth proportional to 271,185.34, 406,731.78 and 71,507.70 is: 107,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,185.34 : 406,731.78 = 71,507.70 : x
  2. Step 2: Convert to fraction form
    271,185.34/406,731.78 = 71,507.70/x
  3. Step 3: Cross multiply
    271,185.34x = 406,731.78 × 71,507.70
  4. Step 4: Simplify right side
    271,185.34x = 29,084,454,104.71
  5. Step 5: Solve for x
    x = 29,084,454,104.71/271,185.34
  6. Step 6: Final answer
    x = 107,249.36

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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.