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Finding the Fourth Proportional to 200,667, 276,963.66 and 120,112.50

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Solution

The fourth proportional to 200,667, 276,963.66 and 120,112.50 is: 165,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,667 : 276,963.66 = 120,112.50 : x
  2. Step 2: Convert to fraction form
    200,667/276,963.66 = 120,112.50/x
  3. Step 3: Cross multiply
    200,667x = 276,963.66 × 120,112.50
  4. Step 4: Simplify right side
    200,667x = 33,266,797,611.75
  5. Step 5: Solve for x
    x = 33,266,797,611.75/200,667
  6. Step 6: Final answer
    x = 165,781.11

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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.