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Finding the Fourth Proportional to 200,626, 276,863.92 and 111,202

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Solution

The fourth proportional to 200,626, 276,863.92 and 111,202 is: 153,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,626 : 276,863.92 = 111,202 : x
  2. Step 2: Convert to fraction form
    200,626/276,863.92 = 111,202/x
  3. Step 3: Cross multiply
    200,626x = 276,863.92 × 111,202
  4. Step 4: Simplify right side
    200,626x = 30,787,821,631.84
  5. Step 5: Solve for x
    x = 30,787,821,631.84/200,626
  6. Step 6: Final answer
    x = 153,458.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.