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Finding the Fourth Proportional to 192,655.30, 289,028.07 and 80,408.90

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Solution

The fourth proportional to 192,655.30, 289,028.07 and 80,408.90 is: 120,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,655.30 : 289,028.07 = 80,408.90 : x
  2. Step 2: Convert to fraction form
    192,655.30/289,028.07 = 80,408.90/x
  3. Step 3: Cross multiply
    192,655.30x = 289,028.07 × 80,408.90
  4. Step 4: Simplify right side
    192,655.30x = 23,240,429,177.82
  5. Step 5: Solve for x
    x = 23,240,429,177.82/192,655.30
  6. Step 6: Final answer
    x = 120,632.18

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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.