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Finding the Fourth Proportional to 271,675.91, 407,494.62 and 71,991.87

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Solution

The fourth proportional to 271,675.91, 407,494.62 and 71,991.87 is: 107,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,675.91 : 407,494.62 = 71,991.87 : x
  2. Step 2: Convert to fraction form
    271,675.91/407,494.62 = 71,991.87/x
  3. Step 3: Cross multiply
    271,675.91x = 407,494.62 × 71,991.87
  4. Step 4: Simplify right side
    271,675.91x = 29,336,299,708.74
  5. Step 5: Solve for x
    x = 29,336,299,708.74/271,675.91
  6. Step 6: Final answer
    x = 107,982.71

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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.