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Finding the Fourth Proportional to 192,783.42, 289,128.56 and 74,379.24

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Solution

The fourth proportional to 192,783.42, 289,128.56 and 74,379.24 is: 111,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,783.42 : 289,128.56 = 74,379.24 : x
  2. Step 2: Convert to fraction form
    192,783.42/289,128.56 = 74,379.24/x
  3. Step 3: Cross multiply
    192,783.42x = 289,128.56 × 74,379.24
  4. Step 4: Simplify right side
    192,783.42x = 21,505,162,183.20
  5. Step 5: Solve for x
    x = 21,505,162,183.20/192,783.42
  6. Step 6: Final answer
    x = 111,550.89

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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.