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Finding the Fourth Proportional to 66,905.80, 100,310.10 and 27,442.60

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Solution

The fourth proportional to 66,905.80, 100,310.10 and 27,442.60 is: 41,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,905.80 : 100,310.10 = 27,442.60 : x
  2. Step 2: Convert to fraction form
    66,905.80/100,310.10 = 27,442.60/x
  3. Step 3: Cross multiply
    66,905.80x = 100,310.10 × 27,442.60
  4. Step 4: Simplify right side
    66,905.80x = 2,752,769,950.26
  5. Step 5: Solve for x
    x = 2,752,769,950.26/66,905.80
  6. Step 6: Final answer
    x = 41,143.97

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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.