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Finding the Fourth Proportional to 109,358.20, 164,037.30 and 67,828.60

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Solution

The fourth proportional to 109,358.20, 164,037.30 and 67,828.60 is: 101,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,358.20 : 164,037.30 = 67,828.60 : x
  2. Step 2: Convert to fraction form
    109,358.20/164,037.30 = 67,828.60/x
  3. Step 3: Cross multiply
    109,358.20x = 164,037.30 × 67,828.60
  4. Step 4: Simplify right side
    109,358.20x = 11,126,420,406.78
  5. Step 5: Solve for x
    x = 11,126,420,406.78/109,358.20
  6. Step 6: Final answer
    x = 101,742.90

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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.