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Finding the Fourth Proportional to 120,063.11, 180,121.40 and 35,824.73

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Solution

The fourth proportional to 120,063.11, 180,121.40 and 35,824.73 is: 53,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,063.11 : 180,121.40 = 35,824.73 : x
  2. Step 2: Convert to fraction form
    120,063.11/180,121.40 = 35,824.73/x
  3. Step 3: Cross multiply
    120,063.11x = 180,121.40 × 35,824.73
  4. Step 4: Simplify right side
    120,063.11x = 6,452,800,489.26
  5. Step 5: Solve for x
    x = 6,452,800,489.26/120,063.11
  6. Step 6: Final answer
    x = 53,745.07

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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.