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Finding the Fourth Proportional to 252,062.86, 378,205.46 and 133,705.16

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Solution

The fourth proportional to 252,062.86, 378,205.46 and 133,705.16 is: 200,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,062.86 : 378,205.46 = 133,705.16 : x
  2. Step 2: Convert to fraction form
    252,062.86/378,205.46 = 133,705.16/x
  3. Step 3: Cross multiply
    252,062.86x = 378,205.46 × 133,705.16
  4. Step 4: Simplify right side
    252,062.86x = 50,568,021,542.17
  5. Step 5: Solve for x
    x = 50,568,021,542.17/252,062.86
  6. Step 6: Final answer
    x = 200,616.71

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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.