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Finding the Fourth Proportional to 200,236.38, 300,438.36 and 87,858.60

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Solution

The fourth proportional to 200,236.38, 300,438.36 and 87,858.60 is: 131,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,236.38 : 300,438.36 = 87,858.60 : x
  2. Step 2: Convert to fraction form
    200,236.38/300,438.36 = 87,858.60/x
  3. Step 3: Cross multiply
    200,236.38x = 300,438.36 × 87,858.60
  4. Step 4: Simplify right side
    200,236.38x = 26,396,093,695.90
  5. Step 5: Solve for x
    x = 26,396,093,695.90/200,236.38
  6. Step 6: Final answer
    x = 131,824.66

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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.