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Finding the Fourth Proportional to 120,378.54, 180,469.27 and 45,456.17

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Solution

The fourth proportional to 120,378.54, 180,469.27 and 45,456.17 is: 68,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,378.54 : 180,469.27 = 45,456.17 : x
  2. Step 2: Convert to fraction form
    120,378.54/180,469.27 = 45,456.17/x
  3. Step 3: Cross multiply
    120,378.54x = 180,469.27 × 45,456.17
  4. Step 4: Simplify right side
    120,378.54x = 8,203,441,816.90
  5. Step 5: Solve for x
    x = 8,203,441,816.90/120,378.54
  6. Step 6: Final answer
    x = 68,147.05

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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.