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Finding the Fourth Proportional to 101,223.20, 151,834.80 and 81,540.20

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Solution

The fourth proportional to 101,223.20, 151,834.80 and 81,540.20 is: 122,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223.20 : 151,834.80 = 81,540.20 : x
  2. Step 2: Convert to fraction form
    101,223.20/151,834.80 = 81,540.20/x
  3. Step 3: Cross multiply
    101,223.20x = 151,834.80 × 81,540.20
  4. Step 4: Simplify right side
    101,223.20x = 12,380,639,958.96
  5. Step 5: Solve for x
    x = 12,380,639,958.96/101,223.20
  6. Step 6: Final answer
    x = 122,310.30

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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.