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Finding the Fourth Proportional to 271,584.90, 407,397.24 and 71,903.88

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Solution

The fourth proportional to 271,584.90, 407,397.24 and 71,903.88 is: 107,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,584.90 : 407,397.24 = 71,903.88 : x
  2. Step 2: Convert to fraction form
    271,584.90/407,397.24 = 71,903.88/x
  3. Step 3: Cross multiply
    271,584.90x = 407,397.24 × 71,903.88
  4. Step 4: Simplify right side
    271,584.90x = 29,293,442,257.29
  5. Step 5: Solve for x
    x = 29,293,442,257.29/271,584.90
  6. Step 6: Final answer
    x = 107,861.09

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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.