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Finding the Fourth Proportional to 141,252.50, 194,945.78 and 81,636.50

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Solution

The fourth proportional to 141,252.50, 194,945.78 and 81,636.50 is: 112,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,252.50 : 194,945.78 = 81,636.50 : x
  2. Step 2: Convert to fraction form
    141,252.50/194,945.78 = 81,636.50/x
  3. Step 3: Cross multiply
    141,252.50x = 194,945.78 × 81,636.50
  4. Step 4: Simplify right side
    141,252.50x = 15,914,691,168.97
  5. Step 5: Solve for x
    x = 15,914,691,168.97/141,252.50
  6. Step 6: Final answer
    x = 112,668.39

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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.