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Finding the Fourth Proportional to 271,059.90, 406,609.83 and 71,378.91

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Solution

The fourth proportional to 271,059.90, 406,609.83 and 71,378.91 is: 107,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,059.90 : 406,609.83 = 71,378.91 : x
  2. Step 2: Convert to fraction form
    271,059.90/406,609.83 = 71,378.91/x
  3. Step 3: Cross multiply
    271,059.90x = 406,609.83 × 71,378.91
  4. Step 4: Simplify right side
    271,059.90x = 29,023,366,460.69
  5. Step 5: Solve for x
    x = 29,023,366,460.69/271,059.90
  6. Step 6: Final answer
    x = 107,073.63

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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.