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Finding the Fourth Proportional to 123,137.20, 184,414.20 and 83,479.60

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Solution

The fourth proportional to 123,137.20, 184,414.20 and 83,479.60 is: 125,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,137.20 : 184,414.20 = 83,479.60 : x
  2. Step 2: Convert to fraction form
    123,137.20/184,414.20 = 83,479.60/x
  3. Step 3: Cross multiply
    123,137.20x = 184,414.20 × 83,479.60
  4. Step 4: Simplify right side
    123,137.20x = 15,394,823,650.32
  5. Step 5: Solve for x
    x = 15,394,823,650.32/123,137.20
  6. Step 6: Final answer
    x = 125,021.71

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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.