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Finding the Fourth Proportional to 201,823, 278,524.38 and 112,399

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Solution

The fourth proportional to 201,823, 278,524.38 and 112,399 is: 155,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,823 : 278,524.38 = 112,399 : x
  2. Step 2: Convert to fraction form
    201,823/278,524.38 = 112,399/x
  3. Step 3: Cross multiply
    201,823x = 278,524.38 × 112,399
  4. Step 4: Simplify right side
    201,823x = 31,305,861,787.62
  5. Step 5: Solve for x
    x = 31,305,861,787.62/201,823
  6. Step 6: Final answer
    x = 155,115.43

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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.