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Finding the Fourth Proportional to 72,021.66, 108,049.77 and 27,648.78

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Solution

The fourth proportional to 72,021.66, 108,049.77 and 27,648.78 is: 41,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,021.66 : 108,049.77 = 27,648.78 : x
  2. Step 2: Convert to fraction form
    72,021.66/108,049.77 = 27,648.78/x
  3. Step 3: Cross multiply
    72,021.66x = 108,049.77 × 27,648.78
  4. Step 4: Simplify right side
    72,021.66x = 2,987,444,319.78
  5. Step 5: Solve for x
    x = 2,987,444,319.78/72,021.66
  6. Step 6: Final answer
    x = 41,479.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.