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Finding the Fourth Proportional to 132,338.70, 197,961.30 and 120,660.12

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Solution

The fourth proportional to 132,338.70, 197,961.30 and 120,660.12 is: 180,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,338.70 : 197,961.30 = 120,660.12 : x
  2. Step 2: Convert to fraction form
    132,338.70/197,961.30 = 120,660.12/x
  3. Step 3: Cross multiply
    132,338.70x = 197,961.30 × 120,660.12
  4. Step 4: Simplify right side
    132,338.70x = 23,886,034,213.36
  5. Step 5: Solve for x
    x = 23,886,034,213.36/132,338.70
  6. Step 6: Final answer
    x = 180,491.68

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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.