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Finding the Fourth Proportional to 271,059.53, 406,609.28 and 71,378.54

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Solution

The fourth proportional to 271,059.53, 406,609.28 and 71,378.54 is: 107,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,059.53 : 406,609.28 = 71,378.54 : x
  2. Step 2: Convert to fraction form
    271,059.53/406,609.28 = 71,378.54/x
  3. Step 3: Cross multiply
    271,059.53x = 406,609.28 × 71,378.54
  4. Step 4: Simplify right side
    271,059.53x = 29,023,174,366.91
  5. Step 5: Solve for x
    x = 29,023,174,366.91/271,059.53
  6. Step 6: Final answer
    x = 107,073.07

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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.