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Finding the Fourth Proportional to 271,676.91, 407,496.12 and 71,992.87

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Solution

The fourth proportional to 271,676.91, 407,496.12 and 71,992.87 is: 107,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,676.91 : 407,496.12 = 71,992.87 : x
  2. Step 2: Convert to fraction form
    271,676.91/407,496.12 = 71,992.87/x
  3. Step 3: Cross multiply
    271,676.91x = 407,496.12 × 71,992.87
  4. Step 4: Simplify right side
    271,676.91x = 29,336,815,192.66
  5. Step 5: Solve for x
    x = 29,336,815,192.66/271,676.91
  6. Step 6: Final answer
    x = 107,984.21

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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.