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Finding the Fourth Proportional to 66,745.46, 100,146.12 and 29,286.20

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Solution

The fourth proportional to 66,745.46, 100,146.12 and 29,286.20 is: 43,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,745.46 : 100,146.12 = 29,286.20 : x
  2. Step 2: Convert to fraction form
    66,745.46/100,146.12 = 29,286.20/x
  3. Step 3: Cross multiply
    66,745.46x = 100,146.12 × 29,286.20
  4. Step 4: Simplify right side
    66,745.46x = 2,932,899,299.54
  5. Step 5: Solve for x
    x = 2,932,899,299.54/66,745.46
  6. Step 6: Final answer
    x = 43,941.55

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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.