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Finding the Fourth Proportional to 66,500, 99,750 and 33,668

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Solution

The fourth proportional to 66,500, 99,750 and 33,668 is: 50,502

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,500 : 99,750 = 33,668 : x
  2. Step 2: Convert to fraction form
    66,500/99,750 = 33,668/x
  3. Step 3: Cross multiply
    66,500x = 99,750 × 33,668
  4. Step 4: Simplify right side
    66,500x = 3,358,383,000
  5. Step 5: Solve for x
    x = 3,358,383,000/66,500
  6. Step 6: Final answer
    x = 50,502

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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.