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Finding the Fourth Proportional to 201,290.97, 277,725.61 and 133,286.21

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Solution

The fourth proportional to 201,290.97, 277,725.61 and 133,286.21 is: 183,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,290.97 : 277,725.61 = 133,286.21 : x
  2. Step 2: Convert to fraction form
    201,290.97/277,725.61 = 133,286.21/x
  3. Step 3: Cross multiply
    201,290.97x = 277,725.61 × 133,286.21
  4. Step 4: Simplify right side
    201,290.97x = 37,016,993,796.29
  5. Step 5: Solve for x
    x = 37,016,993,796.29/201,290.97
  6. Step 6: Final answer
    x = 183,897.93

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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.