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Finding the Fourth Proportional to 276,799.92, 382,078.22 and 172,105.80

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Solution

The fourth proportional to 276,799.92, 382,078.22 and 172,105.80 is: 237,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,799.92 : 382,078.22 = 172,105.80 : x
  2. Step 2: Convert to fraction form
    276,799.92/382,078.22 = 172,105.80/x
  3. Step 3: Cross multiply
    276,799.92x = 382,078.22 × 172,105.80
  4. Step 4: Simplify right side
    276,799.92x = 65,757,876,855.15
  5. Step 5: Solve for x
    x = 65,757,876,855.15/276,799.92
  6. Step 6: Final answer
    x = 237,564.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.