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Finding the Fourth Proportional to 135.89, 203.87 and 78.14

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Solution

The fourth proportional to 135.89, 203.87 and 78.14 is: 117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.89 : 203.87 = 78.14 : x
  2. Step 2: Convert to fraction form
    135.89/203.87 = 78.14/x
  3. Step 3: Cross multiply
    135.89x = 203.87 × 78.14
  4. Step 4: Simplify right side
    135.89x = 15,930.40
  5. Step 5: Solve for x
    x = 15,930.40/135.89
  6. Step 6: Final answer
    x = 117.23

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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.