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Finding the Fourth Proportional to 81,808.75, 122,714.64 and 25,647.60

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Solution

The fourth proportional to 81,808.75, 122,714.64 and 25,647.60 is: 38,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808.75 : 122,714.64 = 25,647.60 : x
  2. Step 2: Convert to fraction form
    81,808.75/122,714.64 = 25,647.60/x
  3. Step 3: Cross multiply
    81,808.75x = 122,714.64 × 25,647.60
  4. Step 4: Simplify right side
    81,808.75x = 3,147,336,000.86
  5. Step 5: Solve for x
    x = 3,147,336,000.86/81,808.75
  6. Step 6: Final answer
    x = 38,471.87

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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.