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Finding the Fourth Proportional to 45,015.75, 67,524.54 and 13,851

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Solution

The fourth proportional to 45,015.75, 67,524.54 and 13,851 is: 20,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,015.75 : 67,524.54 = 13,851 : x
  2. Step 2: Convert to fraction form
    45,015.75/67,524.54 = 13,851/x
  3. Step 3: Cross multiply
    45,015.75x = 67,524.54 × 13,851
  4. Step 4: Simplify right side
    45,015.75x = 935,282,351.60
  5. Step 5: Solve for x
    x = 935,282,351.60/45,015.75
  6. Step 6: Final answer
    x = 20,776.78

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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.