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Finding the Fourth Proportional to 200,502.96, 300,769.20 and 67,382.25

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Solution

The fourth proportional to 200,502.96, 300,769.20 and 67,382.25 is: 101,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502.96 : 300,769.20 = 67,382.25 : x
  2. Step 2: Convert to fraction form
    200,502.96/300,769.20 = 67,382.25/x
  3. Step 3: Cross multiply
    200,502.96x = 300,769.20 × 67,382.25
  4. Step 4: Simplify right side
    200,502.96x = 20,266,505,426.70
  5. Step 5: Solve for x
    x = 20,266,505,426.70/200,502.96
  6. Step 6: Final answer
    x = 101,078.34

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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.