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Finding the Fourth Proportional to 142.37, 196.68 and 121.86

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Solution

The fourth proportional to 142.37, 196.68 and 121.86 is: 168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.37 : 196.68 = 121.86 : x
  2. Step 2: Convert to fraction form
    142.37/196.68 = 121.86/x
  3. Step 3: Cross multiply
    142.37x = 196.68 × 121.86
  4. Step 4: Simplify right side
    142.37x = 23,967.42
  5. Step 5: Solve for x
    x = 23,967.42/142.37
  6. Step 6: Final answer
    x = 168.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.