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Finding the Fourth Proportional to 120,523.20, 180,871.20 and 67,876.80

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Solution

The fourth proportional to 120,523.20, 180,871.20 and 67,876.80 is: 101,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,523.20 : 180,871.20 = 67,876.80 : x
  2. Step 2: Convert to fraction form
    120,523.20/180,871.20 = 67,876.80/x
  3. Step 3: Cross multiply
    120,523.20x = 180,871.20 × 67,876.80
  4. Step 4: Simplify right side
    120,523.20x = 12,276,958,268.16
  5. Step 5: Solve for x
    x = 12,276,958,268.16/120,523.20
  6. Step 6: Final answer
    x = 101,863.86

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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.