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Finding the Fourth Proportional to 81,809.75, 122,716.14 and 25,648.60

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Solution

The fourth proportional to 81,809.75, 122,716.14 and 25,648.60 is: 38,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,809.75 : 122,716.14 = 25,648.60 : x
  2. Step 2: Convert to fraction form
    81,809.75/122,716.14 = 25,648.60/x
  3. Step 3: Cross multiply
    81,809.75x = 122,716.14 × 25,648.60
  4. Step 4: Simplify right side
    81,809.75x = 3,147,497,188.40
  5. Step 5: Solve for x
    x = 3,147,497,188.40/81,809.75
  6. Step 6: Final answer
    x = 38,473.37

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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.