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Finding the Fourth Proportional to 135,309.68, 202,965.38 and 35,469

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Solution

The fourth proportional to 135,309.68, 202,965.38 and 35,469 is: 53,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,309.68 : 202,965.38 = 35,469 : x
  2. Step 2: Convert to fraction form
    135,309.68/202,965.38 = 35,469/x
  3. Step 3: Cross multiply
    135,309.68x = 202,965.38 × 35,469
  4. Step 4: Simplify right side
    135,309.68x = 7,198,979,063.22
  5. Step 5: Solve for x
    x = 7,198,979,063.22/135,309.68
  6. Step 6: Final answer
    x = 53,203.73

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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.