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Finding the Fourth Proportional to 66,847.26, 100,270.89 and 31,767.78

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Solution

The fourth proportional to 66,847.26, 100,270.89 and 31,767.78 is: 47,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,847.26 : 100,270.89 = 31,767.78 : x
  2. Step 2: Convert to fraction form
    66,847.26/100,270.89 = 31,767.78/x
  3. Step 3: Cross multiply
    66,847.26x = 100,270.89 × 31,767.78
  4. Step 4: Simplify right side
    66,847.26x = 3,185,383,573.92
  5. Step 5: Solve for x
    x = 3,185,383,573.92/66,847.26
  6. Step 6: Final answer
    x = 47,651.67

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1.5x scale

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.