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Finding the Fourth Proportional to 120,640.20, 180,960.30 and 54,009.60

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Solution

The fourth proportional to 120,640.20, 180,960.30 and 54,009.60 is: 81,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,640.20 : 180,960.30 = 54,009.60 : x
  2. Step 2: Convert to fraction form
    120,640.20/180,960.30 = 54,009.60/x
  3. Step 3: Cross multiply
    120,640.20x = 180,960.30 × 54,009.60
  4. Step 4: Simplify right side
    120,640.20x = 9,773,593,418.88
  5. Step 5: Solve for x
    x = 9,773,593,418.88/120,640.20
  6. Step 6: Final answer
    x = 81,014.40

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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.