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Finding the Fourth Proportional to 192,749.94, 288,969.03 and 80,516.12

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Solution

The fourth proportional to 192,749.94, 288,969.03 and 80,516.12 is: 120,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,749.94 : 288,969.03 = 80,516.12 : x
  2. Step 2: Convert to fraction form
    192,749.94/288,969.03 = 80,516.12/x
  3. Step 3: Cross multiply
    192,749.94x = 288,969.03 × 80,516.12
  4. Step 4: Simplify right side
    192,749.94x = 23,266,663,650.92
  5. Step 5: Solve for x
    x = 23,266,663,650.92/192,749.94
  6. Step 6: Final answer
    x = 120,709.06

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1.5x scale

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.