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Finding the Fourth Proportional to 200,998.20, 301,238.10 and 122,028.60

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Solution

The fourth proportional to 200,998.20, 301,238.10 and 122,028.60 is: 182,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,998.20 : 301,238.10 = 122,028.60 : x
  2. Step 2: Convert to fraction form
    200,998.20/301,238.10 = 122,028.60/x
  3. Step 3: Cross multiply
    200,998.20x = 301,238.10 × 122,028.60
  4. Step 4: Simplify right side
    200,998.20x = 36,759,663,609.66
  5. Step 5: Solve for x
    x = 36,759,663,609.66/200,998.20
  6. Step 6: Final answer
    x = 182,885.54

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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.