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Finding the Fourth Proportional to 87,740, 121,081.20 and 47,996

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Solution

The fourth proportional to 87,740, 121,081.20 and 47,996 is: 66,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,740 : 121,081.20 = 47,996 : x
  2. Step 2: Convert to fraction form
    87,740/121,081.20 = 47,996/x
  3. Step 3: Cross multiply
    87,740x = 121,081.20 × 47,996
  4. Step 4: Simplify right side
    87,740x = 5,811,413,275.20
  5. Step 5: Solve for x
    x = 5,811,413,275.20/87,740
  6. Step 6: Final answer
    x = 66,234.48

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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.