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Finding the Fourth Proportional to 67,221.32, 100,765.20 and 32,120

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Solution

The fourth proportional to 67,221.32, 100,765.20 and 32,120 is: 48,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,221.32 : 100,765.20 = 32,120 : x
  2. Step 2: Convert to fraction form
    67,221.32/100,765.20 = 32,120/x
  3. Step 3: Cross multiply
    67,221.32x = 100,765.20 × 32,120
  4. Step 4: Simplify right side
    67,221.32x = 3,236,578,224
  5. Step 5: Solve for x
    x = 3,236,578,224/67,221.32
  6. Step 6: Final answer
    x = 48,148.09

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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.