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Finding the Fourth Proportional to 66,701.78, 100,015.74 and 27,286.58

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Solution

The fourth proportional to 66,701.78, 100,015.74 and 27,286.58 is: 40,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,701.78 : 100,015.74 = 27,286.58 : x
  2. Step 2: Convert to fraction form
    66,701.78/100,015.74 = 27,286.58/x
  3. Step 3: Cross multiply
    66,701.78x = 100,015.74 × 27,286.58
  4. Step 4: Simplify right side
    66,701.78x = 2,729,086,990.69
  5. Step 5: Solve for x
    x = 2,729,086,990.69/66,701.78
  6. Step 6: Final answer
    x = 40,914.76

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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.