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Finding the Fourth Proportional to 187,100.26, 280,694.22 and 127,963.78

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Solution

The fourth proportional to 187,100.26, 280,694.22 and 127,963.78 is: 191,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,100.26 : 280,694.22 = 127,963.78 : x
  2. Step 2: Convert to fraction form
    187,100.26/280,694.22 = 127,963.78/x
  3. Step 3: Cross multiply
    187,100.26x = 280,694.22 × 127,963.78
  4. Step 4: Simplify right side
    187,100.26x = 35,918,693,415.35
  5. Step 5: Solve for x
    x = 35,918,693,415.35/187,100.26
  6. Step 6: Final answer
    x = 191,975.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.