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Finding the Fourth Proportional to 120,639.73, 180,959.60 and 82,651.54

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Solution

The fourth proportional to 120,639.73, 180,959.60 and 82,651.54 is: 123,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,639.73 : 180,959.60 = 82,651.54 : x
  2. Step 2: Convert to fraction form
    120,639.73/180,959.60 = 82,651.54/x
  3. Step 3: Cross multiply
    120,639.73x = 180,959.60 × 82,651.54
  4. Step 4: Simplify right side
    120,639.73x = 14,956,589,617.78
  5. Step 5: Solve for x
    x = 14,956,589,617.78/120,639.73
  6. Step 6: Final answer
    x = 123,977.31

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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.