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Finding the Fourth Proportional to 209,399.21, 313,945.67 and 67,163.51

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Solution

The fourth proportional to 209,399.21, 313,945.67 and 67,163.51 is: 100,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,399.21 : 313,945.67 = 67,163.51 : x
  2. Step 2: Convert to fraction form
    209,399.21/313,945.67 = 67,163.51/x
  3. Step 3: Cross multiply
    209,399.21x = 313,945.67 × 67,163.51
  4. Step 4: Simplify right side
    209,399.21x = 21,085,693,437.05
  5. Step 5: Solve for x
    x = 21,085,693,437.05/209,399.21
  6. Step 6: Final answer
    x = 100,696.14

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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.