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Finding the Fourth Proportional to 120,778.94, 180,993.44 and 68,076.30

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Solution

The fourth proportional to 120,778.94, 180,993.44 and 68,076.30 is: 102,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,778.94 : 180,993.44 = 68,076.30 : x
  2. Step 2: Convert to fraction form
    120,778.94/180,993.44 = 68,076.30/x
  3. Step 3: Cross multiply
    120,778.94x = 180,993.44 × 68,076.30
  4. Step 4: Simplify right side
    120,778.94x = 12,321,363,719.47
  5. Step 5: Solve for x
    x = 12,321,363,719.47/120,778.94
  6. Step 6: Final answer
    x = 102,015.83

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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.