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Finding the Fourth Proportional to 67,311.15, 100,978.73 and 22,335.20

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Solution

The fourth proportional to 67,311.15, 100,978.73 and 22,335.20 is: 33,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,311.15 : 100,978.73 = 22,335.20 : x
  2. Step 2: Convert to fraction form
    67,311.15/100,978.73 = 22,335.20/x
  3. Step 3: Cross multiply
    67,311.15x = 100,978.73 × 22,335.20
  4. Step 4: Simplify right side
    67,311.15x = 2,255,380,130.30
  5. Step 5: Solve for x
    x = 2,255,380,130.30/67,311.15
  6. Step 6: Final answer
    x = 33,506.78

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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.