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Finding the Fourth Proportional to 81,889.44, 122,846.45 and 29,286.60

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Solution

The fourth proportional to 81,889.44, 122,846.45 and 29,286.60 is: 43,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,889.44 : 122,846.45 = 29,286.60 : x
  2. Step 2: Convert to fraction form
    81,889.44/122,846.45 = 29,286.60/x
  3. Step 3: Cross multiply
    81,889.44x = 122,846.45 × 29,286.60
  4. Step 4: Simplify right side
    81,889.44x = 3,597,754,696.14
  5. Step 5: Solve for x
    x = 3,597,754,696.14/81,889.44
  6. Step 6: Final answer
    x = 43,934.29

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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.