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Finding the Fourth Proportional to 200,144.70, 300,191.10 and 75,469.50

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Solution

The fourth proportional to 200,144.70, 300,191.10 and 75,469.50 is: 113,194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,144.70 : 300,191.10 = 75,469.50 : x
  2. Step 2: Convert to fraction form
    200,144.70/300,191.10 = 75,469.50/x
  3. Step 3: Cross multiply
    200,144.70x = 300,191.10 × 75,469.50
  4. Step 4: Simplify right side
    200,144.70x = 22,655,272,221.45
  5. Step 5: Solve for x
    x = 22,655,272,221.45/200,144.70
  6. Step 6: Final answer
    x = 113,194.46

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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.