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Finding the Fourth Proportional to 200,091.82, 300,137.73 and 75,403.66

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Solution

The fourth proportional to 200,091.82, 300,137.73 and 75,403.66 is: 113,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,091.82 : 300,137.73 = 75,403.66 : x
  2. Step 2: Convert to fraction form
    200,091.82/300,137.73 = 75,403.66/x
  3. Step 3: Cross multiply
    200,091.82x = 300,137.73 × 75,403.66
  4. Step 4: Simplify right side
    200,091.82x = 22,631,483,346.09
  5. Step 5: Solve for x
    x = 22,631,483,346.09/200,091.82
  6. Step 6: Final answer
    x = 113,105.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.