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Finding the Fourth Proportional to 200,076.38, 300,198.81 and 87,698.60

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Solution

The fourth proportional to 200,076.38, 300,198.81 and 87,698.60 is: 131,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076.38 : 300,198.81 = 87,698.60 : x
  2. Step 2: Convert to fraction form
    200,076.38/300,198.81 = 87,698.60/x
  3. Step 3: Cross multiply
    200,076.38x = 300,198.81 × 87,698.60
  4. Step 4: Simplify right side
    200,076.38x = 26,327,015,358.67
  5. Step 5: Solve for x
    x = 26,327,015,358.67/200,076.38
  6. Step 6: Final answer
    x = 131,584.82

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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.