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Finding the Fourth Proportional to 201,689.49, 277,960.75 and 188,891.29

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Solution

The fourth proportional to 201,689.49, 277,960.75 and 188,891.29 is: 260,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,689.49 : 277,960.75 = 188,891.29 : x
  2. Step 2: Convert to fraction form
    201,689.49/277,960.75 = 188,891.29/x
  3. Step 3: Cross multiply
    201,689.49x = 277,960.75 × 188,891.29
  4. Step 4: Simplify right side
    201,689.49x = 52,504,363,469.74
  5. Step 5: Solve for x
    x = 52,504,363,469.74/201,689.49
  6. Step 6: Final answer
    x = 260,322.75

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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.