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Finding the Fourth Proportional to 138,755, 191,481.90 and 75,093.26

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Solution

The fourth proportional to 138,755, 191,481.90 and 75,093.26 is: 103,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,755 : 191,481.90 = 75,093.26 : x
  2. Step 2: Convert to fraction form
    138,755/191,481.90 = 75,093.26/x
  3. Step 3: Cross multiply
    138,755x = 191,481.90 × 75,093.26
  4. Step 4: Simplify right side
    138,755x = 14,379,000,101.99
  5. Step 5: Solve for x
    x = 14,379,000,101.99/138,755
  6. Step 6: Final answer
    x = 103,628.70

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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.