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Finding the Fourth Proportional to 121.87, 182.80 and 30.56

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Solution

The fourth proportional to 121.87, 182.80 and 30.56 is: 45.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.87 : 182.80 = 30.56 : x
  2. Step 2: Convert to fraction form
    121.87/182.80 = 30.56/x
  3. Step 3: Cross multiply
    121.87x = 182.80 × 30.56
  4. Step 4: Simplify right side
    121.87x = 5,586.37
  5. Step 5: Solve for x
    x = 5,586.37/121.87
  6. Step 6: Final answer
    x = 45.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.