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Finding the Fourth Proportional to 121.53, 183 and 85.71

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Solution

The fourth proportional to 121.53, 183 and 85.71 is: 129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.53 : 183 = 85.71 : x
  2. Step 2: Convert to fraction form
    121.53/183 = 85.71/x
  3. Step 3: Cross multiply
    121.53x = 183 × 85.71
  4. Step 4: Simplify right side
    121.53x = 15,684.93
  5. Step 5: Solve for x
    x = 15,684.93/121.53
  6. Step 6: Final answer
    x = 129.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.