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Finding the Fourth Proportional to 121.06, 180.64 and 109.45

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Solution

The fourth proportional to 121.06, 180.64 and 109.45 is: 163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.06 : 180.64 = 109.45 : x
  2. Step 2: Convert to fraction form
    121.06/180.64 = 109.45/x
  3. Step 3: Cross multiply
    121.06x = 180.64 × 109.45
  4. Step 4: Simplify right side
    121.06x = 19,771.05
  5. Step 5: Solve for x
    x = 19,771.05/121.06
  6. Step 6: Final answer
    x = 163.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.