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Finding the Fourth Proportional to 192,739.92, 289,121.20 and 74,411.88

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Solution

The fourth proportional to 192,739.92, 289,121.20 and 74,411.88 is: 111,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,739.92 : 289,121.20 = 74,411.88 : x
  2. Step 2: Convert to fraction form
    192,739.92/289,121.20 = 74,411.88/x
  3. Step 3: Cross multiply
    192,739.92x = 289,121.20 × 74,411.88
  4. Step 4: Simplify right side
    192,739.92x = 21,514,052,039.86
  5. Step 5: Solve for x
    x = 21,514,052,039.86/192,739.92
  6. Step 6: Final answer
    x = 111,622.19

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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.