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Finding the Fourth Proportional to 200,780.75, 301,154.72 and 67,658.06

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Solution

The fourth proportional to 200,780.75, 301,154.72 and 67,658.06 is: 101,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,780.75 : 301,154.72 = 67,658.06 : x
  2. Step 2: Convert to fraction form
    200,780.75/301,154.72 = 67,658.06/x
  3. Step 3: Cross multiply
    200,780.75x = 301,154.72 × 67,658.06
  4. Step 4: Simplify right side
    200,780.75x = 20,375,542,270.98
  5. Step 5: Solve for x
    x = 20,375,542,270.98/200,780.75
  6. Step 6: Final answer
    x = 101,481.56

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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.