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Finding the Fourth Proportional to 87,300, 120,474 and 47,556

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Solution

The fourth proportional to 87,300, 120,474 and 47,556 is: 65,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,300 : 120,474 = 47,556 : x
  2. Step 2: Convert to fraction form
    87,300/120,474 = 47,556/x
  3. Step 3: Cross multiply
    87,300x = 120,474 × 47,556
  4. Step 4: Simplify right side
    87,300x = 5,729,261,544
  5. Step 5: Solve for x
    x = 5,729,261,544/87,300
  6. Step 6: Final answer
    x = 65,627.28

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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.