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Finding the Fourth Proportional to 271,039.21, 406,521.90 and 71,342.87

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Solution

The fourth proportional to 271,039.21, 406,521.90 and 71,342.87 is: 107,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,039.21 : 406,521.90 = 71,342.87 : x
  2. Step 2: Convert to fraction form
    271,039.21/406,521.90 = 71,342.87/x
  3. Step 3: Cross multiply
    271,039.21x = 406,521.90 × 71,342.87
  4. Step 4: Simplify right side
    271,039.21x = 29,002,439,585.47
  5. Step 5: Solve for x
    x = 29,002,439,585.47/271,039.21
  6. Step 6: Final answer
    x = 107,004.59

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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.