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Finding the Fourth Proportional to 87,194, 120,327.72 and 47,450

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Solution

The fourth proportional to 87,194, 120,327.72 and 47,450 is: 65,481

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,194 : 120,327.72 = 47,450 : x
  2. Step 2: Convert to fraction form
    87,194/120,327.72 = 47,450/x
  3. Step 3: Cross multiply
    87,194x = 120,327.72 × 47,450
  4. Step 4: Simplify right side
    87,194x = 5,709,550,314
  5. Step 5: Solve for x
    x = 5,709,550,314/87,194
  6. Step 6: Final answer
    x = 65,481

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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.