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Finding the Fourth Proportional to 71,380.76, 107,076.44 and 21,456.84

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Solution

The fourth proportional to 71,380.76, 107,076.44 and 21,456.84 is: 32,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,380.76 : 107,076.44 = 21,456.84 : x
  2. Step 2: Convert to fraction form
    71,380.76/107,076.44 = 21,456.84/x
  3. Step 3: Cross multiply
    71,380.76x = 107,076.44 × 21,456.84
  4. Step 4: Simplify right side
    71,380.76x = 2,297,522,040.85
  5. Step 5: Solve for x
    x = 2,297,522,040.85/71,380.76
  6. Step 6: Final answer
    x = 32,186.85

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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.