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Finding the Fourth Proportional to 140,469, 193,850.74 and 85,279

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Solution

The fourth proportional to 140,469, 193,850.74 and 85,279 is: 117,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,469 : 193,850.74 = 85,279 : x
  2. Step 2: Convert to fraction form
    140,469/193,850.74 = 85,279/x
  3. Step 3: Cross multiply
    140,469x = 193,850.74 × 85,279
  4. Step 4: Simplify right side
    140,469x = 16,531,397,256.46
  5. Step 5: Solve for x
    x = 16,531,397,256.46/140,469
  6. Step 6: Final answer
    x = 117,687.16

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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.