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Finding the Fourth Proportional to 201,286.33, 277,789.65 and 120,712.39

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Solution

The fourth proportional to 201,286.33, 277,789.65 and 120,712.39 is: 166,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,286.33 : 277,789.65 = 120,712.39 : x
  2. Step 2: Convert to fraction form
    201,286.33/277,789.65 = 120,712.39/x
  3. Step 3: Cross multiply
    201,286.33x = 277,789.65 × 120,712.39
  4. Step 4: Simplify right side
    201,286.33x = 33,532,652,568.76
  5. Step 5: Solve for x
    x = 33,532,652,568.76/201,286.33
  6. Step 6: Final answer
    x = 166,591.80

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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.