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Finding the Fourth Proportional to 81,126.44, 121,693 and 27,855

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Solution

The fourth proportional to 81,126.44, 121,693 and 27,855 is: 41,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,126.44 : 121,693 = 27,855 : x
  2. Step 2: Convert to fraction form
    81,126.44/121,693 = 27,855/x
  3. Step 3: Cross multiply
    81,126.44x = 121,693 × 27,855
  4. Step 4: Simplify right side
    81,126.44x = 3,389,758,515
  5. Step 5: Solve for x
    x = 3,389,758,515/81,126.44
  6. Step 6: Final answer
    x = 41,783.65

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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.