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Finding the Fourth Proportional to 81,908.70, 122,868.63 and 27,851.37

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Solution

The fourth proportional to 81,908.70, 122,868.63 and 27,851.37 is: 41,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,908.70 : 122,868.63 = 27,851.37 : x
  2. Step 2: Convert to fraction form
    81,908.70/122,868.63 = 27,851.37/x
  3. Step 3: Cross multiply
    81,908.70x = 122,868.63 × 27,851.37
  4. Step 4: Simplify right side
    81,908.70x = 3,422,059,675.52
  5. Step 5: Solve for x
    x = 3,422,059,675.52/81,908.70
  6. Step 6: Final answer
    x = 41,778.95

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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.