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Finding the Fourth Proportional to 142.78, 196.81 and 93.55

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Solution

The fourth proportional to 142.78, 196.81 and 93.55 is: 128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.78 : 196.81 = 93.55 : x
  2. Step 2: Convert to fraction form
    142.78/196.81 = 93.55/x
  3. Step 3: Cross multiply
    142.78x = 196.81 × 93.55
  4. Step 4: Simplify right side
    142.78x = 18,411.58
  5. Step 5: Solve for x
    x = 18,411.58/142.78
  6. Step 6: Final answer
    x = 128.95

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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.