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Finding the Fourth Proportional to 202,246.30, 303,806.85 and 143,197.30

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Solution

The fourth proportional to 202,246.30, 303,806.85 and 143,197.30 is: 215,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,246.30 : 303,806.85 = 143,197.30 : x
  2. Step 2: Convert to fraction form
    202,246.30/303,806.85 = 143,197.30/x
  3. Step 3: Cross multiply
    202,246.30x = 303,806.85 × 143,197.30
  4. Step 4: Simplify right side
    202,246.30x = 43,504,320,641.51
  5. Step 5: Solve for x
    x = 43,504,320,641.51/202,246.30
  6. Step 6: Final answer
    x = 215,105.64

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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.