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Finding the Fourth Proportional to 200,241, 300,128.22 and 111,452.04

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Solution

The fourth proportional to 200,241, 300,128.22 and 111,452.04 is: 167,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,241 : 300,128.22 = 111,452.04 : x
  2. Step 2: Convert to fraction form
    200,241/300,128.22 = 111,452.04/x
  3. Step 3: Cross multiply
    200,241x = 300,128.22 × 111,452.04
  4. Step 4: Simplify right side
    200,241x = 33,449,902,380.57
  5. Step 5: Solve for x
    x = 33,449,902,380.57/200,241
  6. Step 6: Final answer
    x = 167,048.22

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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.