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Finding the Fourth Proportional to 192,138.77, 288,218.67 and 79,830.35

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Solution

The fourth proportional to 192,138.77, 288,218.67 and 79,830.35 is: 119,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,138.77 : 288,218.67 = 79,830.35 : x
  2. Step 2: Convert to fraction form
    192,138.77/288,218.67 = 79,830.35/x
  3. Step 3: Cross multiply
    192,138.77x = 288,218.67 × 79,830.35
  4. Step 4: Simplify right side
    192,138.77x = 23,008,595,861.54
  5. Step 5: Solve for x
    x = 23,008,595,861.54/192,138.77
  6. Step 6: Final answer
    x = 119,749.88

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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.