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Finding the Fourth Proportional to 66,450, 99,691.82 and 22,077

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Solution

The fourth proportional to 66,450, 99,691.82 and 22,077 is: 33,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,450 : 99,691.82 = 22,077 : x
  2. Step 2: Convert to fraction form
    66,450/99,691.82 = 22,077/x
  3. Step 3: Cross multiply
    66,450x = 99,691.82 × 22,077
  4. Step 4: Simplify right side
    66,450x = 2,200,896,310.14
  5. Step 5: Solve for x
    x = 2,200,896,310.14/66,450
  6. Step 6: Final answer
    x = 33,121.09

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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.