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Finding the Fourth Proportional to 81,128.44, 121,696 and 27,857

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Solution

The fourth proportional to 81,128.44, 121,696 and 27,857 is: 41,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,128.44 : 121,696 = 27,857 : x
  2. Step 2: Convert to fraction form
    81,128.44/121,696 = 27,857/x
  3. Step 3: Cross multiply
    81,128.44x = 121,696 × 27,857
  4. Step 4: Simplify right side
    81,128.44x = 3,390,085,472
  5. Step 5: Solve for x
    x = 3,390,085,472/81,128.44
  6. Step 6: Final answer
    x = 41,786.65

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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.