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Finding the Fourth Proportional to 271,514.08, 407,324.19 and 81,989.87

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Solution

The fourth proportional to 271,514.08, 407,324.19 and 81,989.87 is: 123,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,514.08 : 407,324.19 = 81,989.87 : x
  2. Step 2: Convert to fraction form
    271,514.08/407,324.19 = 81,989.87/x
  3. Step 3: Cross multiply
    271,514.08x = 407,324.19 × 81,989.87
  4. Step 4: Simplify right side
    271,514.08x = 33,396,457,947.99
  5. Step 5: Solve for x
    x = 33,396,457,947.99/271,514.08
  6. Step 6: Final answer
    x = 123,000.83

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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.