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Finding the Fourth Proportional to 202,431.25, 303,439.51 and 84,171.25

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Solution

The fourth proportional to 202,431.25, 303,439.51 and 84,171.25 is: 126,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,431.25 : 303,439.51 = 84,171.25 : x
  2. Step 2: Convert to fraction form
    202,431.25/303,439.51 = 84,171.25/x
  3. Step 3: Cross multiply
    202,431.25x = 303,439.51 × 84,171.25
  4. Step 4: Simplify right side
    202,431.25x = 25,540,882,856.09
  5. Step 5: Solve for x
    x = 25,540,882,856.09/202,431.25
  6. Step 6: Final answer
    x = 126,170.65

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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.