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Finding the Fourth Proportional to 273,199.92, 409,799.88 and 86,226

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Solution

The fourth proportional to 273,199.92, 409,799.88 and 86,226 is: 129,339

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,199.92 : 409,799.88 = 86,226 : x
  2. Step 2: Convert to fraction form
    273,199.92/409,799.88 = 86,226/x
  3. Step 3: Cross multiply
    273,199.92x = 409,799.88 × 86,226
  4. Step 4: Simplify right side
    273,199.92x = 35,335,404,452.88
  5. Step 5: Solve for x
    x = 35,335,404,452.88/273,199.92
  6. Step 6: Final answer
    x = 129,339

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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.