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Finding the Fourth Proportional to 200,370, 300,658.68 and 101,874

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Solution

The fourth proportional to 200,370, 300,658.68 and 101,874 is: 152,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,370 : 300,658.68 = 101,874 : x
  2. Step 2: Convert to fraction form
    200,370/300,658.68 = 101,874/x
  3. Step 3: Cross multiply
    200,370x = 300,658.68 × 101,874
  4. Step 4: Simplify right side
    200,370x = 30,629,302,366.32
  5. Step 5: Solve for x
    x = 30,629,302,366.32/200,370
  6. Step 6: Final answer
    x = 152,863.71

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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.