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Finding the Fourth Proportional to 72,782.91, 109,174.41 and 20,192.45

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Solution

The fourth proportional to 72,782.91, 109,174.41 and 20,192.45 is: 30,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,782.91 : 109,174.41 = 20,192.45 : x
  2. Step 2: Convert to fraction form
    72,782.91/109,174.41 = 20,192.45/x
  3. Step 3: Cross multiply
    72,782.91x = 109,174.41 × 20,192.45
  4. Step 4: Simplify right side
    72,782.91x = 2,204,498,269.33
  5. Step 5: Solve for x
    x = 2,204,498,269.33/72,782.91
  6. Step 6: Final answer
    x = 30,288.68

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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.