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Finding the Fourth Proportional to 81,797.44, 122,697.69 and 25,636.30

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Solution

The fourth proportional to 81,797.44, 122,697.69 and 25,636.30 is: 38,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,797.44 : 122,697.69 = 25,636.30 : x
  2. Step 2: Convert to fraction form
    81,797.44/122,697.69 = 25,636.30/x
  3. Step 3: Cross multiply
    81,797.44x = 122,697.69 × 25,636.30
  4. Step 4: Simplify right side
    81,797.44x = 3,145,515,293.75
  5. Step 5: Solve for x
    x = 3,145,515,293.75/81,797.44
  6. Step 6: Final answer
    x = 38,454.94

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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.