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Finding the Fourth Proportional to 120,552.95, 180,836.94 and 31,806.54

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Solution

The fourth proportional to 120,552.95, 180,836.94 and 31,806.54 is: 47,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,552.95 : 180,836.94 = 31,806.54 : x
  2. Step 2: Convert to fraction form
    120,552.95/180,836.94 = 31,806.54/x
  3. Step 3: Cross multiply
    120,552.95x = 180,836.94 × 31,806.54
  4. Step 4: Simplify right side
    120,552.95x = 5,751,797,206.55
  5. Step 5: Solve for x
    x = 5,751,797,206.55/120,552.95
  6. Step 6: Final answer
    x = 47,711.79

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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.