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Finding the Fourth Proportional to 87,419, 120,638.34 and 47,675

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Solution

The fourth proportional to 87,419, 120,638.34 and 47,675 is: 65,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,419 : 120,638.34 = 47,675 : x
  2. Step 2: Convert to fraction form
    87,419/120,638.34 = 47,675/x
  3. Step 3: Cross multiply
    87,419x = 120,638.34 × 47,675
  4. Step 4: Simplify right side
    87,419x = 5,751,432,859.50
  5. Step 5: Solve for x
    x = 5,751,432,859.50/87,419
  6. Step 6: Final answer
    x = 65,791.57

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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.