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Finding the Fourth Proportional to 202,081.28, 303,145.32 and 67,157.40

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Solution

The fourth proportional to 202,081.28, 303,145.32 and 67,157.40 is: 100,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,081.28 : 303,145.32 = 67,157.40 : x
  2. Step 2: Convert to fraction form
    202,081.28/303,145.32 = 67,157.40/x
  3. Step 3: Cross multiply
    202,081.28x = 303,145.32 × 67,157.40
  4. Step 4: Simplify right side
    202,081.28x = 20,358,451,513.37
  5. Step 5: Solve for x
    x = 20,358,451,513.37/202,081.28
  6. Step 6: Final answer
    x = 100,743.88

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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.