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Finding the Fourth Proportional to 201,828, 278,531.28 and 112,404

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Solution

The fourth proportional to 201,828, 278,531.28 and 112,404 is: 155,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,828 : 278,531.28 = 112,404 : x
  2. Step 2: Convert to fraction form
    201,828/278,531.28 = 112,404/x
  3. Step 3: Cross multiply
    201,828x = 278,531.28 × 112,404
  4. Step 4: Simplify right side
    201,828x = 31,308,029,997.12
  5. Step 5: Solve for x
    x = 31,308,029,997.12/201,828
  6. Step 6: Final answer
    x = 155,122.33

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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.