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Finding the Fourth Proportional to 72,002.26, 107,992.42 and 27,649.90

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Solution

The fourth proportional to 72,002.26, 107,992.42 and 27,649.90 is: 41,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,002.26 : 107,992.42 = 27,649.90 : x
  2. Step 2: Convert to fraction form
    72,002.26/107,992.42 = 27,649.90/x
  3. Step 3: Cross multiply
    72,002.26x = 107,992.42 × 27,649.90
  4. Step 4: Simplify right side
    72,002.26x = 2,985,979,613.76
  5. Step 5: Solve for x
    x = 2,985,979,613.76/72,002.26
  6. Step 6: Final answer
    x = 41,470.64

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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.