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Finding the Fourth Proportional to 172,105.75, 258,137.97 and 45,755.47

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Solution

The fourth proportional to 172,105.75, 258,137.97 and 45,755.47 is: 68,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,105.75 : 258,137.97 = 45,755.47 : x
  2. Step 2: Convert to fraction form
    172,105.75/258,137.97 = 45,755.47/x
  3. Step 3: Cross multiply
    172,105.75x = 258,137.97 × 45,755.47
  4. Step 4: Simplify right side
    172,105.75x = 11,811,224,142.20
  5. Step 5: Solve for x
    x = 11,811,224,142.20/172,105.75
  6. Step 6: Final answer
    x = 68,627.71

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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.