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Finding the Fourth Proportional to 87,412, 120,630 and 47,668

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Solution

The fourth proportional to 87,412, 120,630 and 47,668 is: 65,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,412 : 120,630 = 47,668 : x
  2. Step 2: Convert to fraction form
    87,412/120,630 = 47,668/x
  3. Step 3: Cross multiply
    87,412x = 120,630 × 47,668
  4. Step 4: Simplify right side
    87,412x = 5,750,190,840
  5. Step 5: Solve for x
    x = 5,750,190,840/87,412
  6. Step 6: Final answer
    x = 65,782.63

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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.