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Finding the Fourth Proportional to 252,845.80, 379,290.42 and 65,857

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Solution

The fourth proportional to 252,845.80, 379,290.42 and 65,857 is: 98,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,845.80 : 379,290.42 = 65,857 : x
  2. Step 2: Convert to fraction form
    252,845.80/379,290.42 = 65,857/x
  3. Step 3: Cross multiply
    252,845.80x = 379,290.42 × 65,857
  4. Step 4: Simplify right side
    252,845.80x = 24,978,929,189.94
  5. Step 5: Solve for x
    x = 24,978,929,189.94/252,845.80
  6. Step 6: Final answer
    x = 98,791.16

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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.