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Finding the Fourth Proportional to 200,441.37, 300,661.79 and 82,112.91

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Solution

The fourth proportional to 200,441.37, 300,661.79 and 82,112.91 is: 123,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,441.37 : 300,661.79 = 82,112.91 : x
  2. Step 2: Convert to fraction form
    200,441.37/300,661.79 = 82,112.91/x
  3. Step 3: Cross multiply
    200,441.37x = 300,661.79 × 82,112.91
  4. Step 4: Simplify right side
    200,441.37x = 24,688,214,092.14
  5. Step 5: Solve for x
    x = 24,688,214,092.14/200,441.37
  6. Step 6: Final answer
    x = 123,169.25

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1.5x scale

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.