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Finding the Fourth Proportional to 86,162, 129,243 and 27,794

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Solution

The fourth proportional to 86,162, 129,243 and 27,794 is: 41,691

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,162 : 129,243 = 27,794 : x
  2. Step 2: Convert to fraction form
    86,162/129,243 = 27,794/x
  3. Step 3: Cross multiply
    86,162x = 129,243 × 27,794
  4. Step 4: Simplify right side
    86,162x = 3,592,179,942
  5. Step 5: Solve for x
    x = 3,592,179,942/86,162
  6. Step 6: Final answer
    x = 41,691

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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.