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Finding the Fourth Proportional to 66,982.34, 100,473.45 and 20,235.20

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Solution

The fourth proportional to 66,982.34, 100,473.45 and 20,235.20 is: 30,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,982.34 : 100,473.45 = 20,235.20 : x
  2. Step 2: Convert to fraction form
    66,982.34/100,473.45 = 20,235.20/x
  3. Step 3: Cross multiply
    66,982.34x = 100,473.45 × 20,235.20
  4. Step 4: Simplify right side
    66,982.34x = 2,033,100,355.44
  5. Step 5: Solve for x
    x = 2,033,100,355.44/66,982.34
  6. Step 6: Final answer
    x = 30,352.78

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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.