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Finding the Fourth Proportional to 136.05, 203.80 and 78.08

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Solution

The fourth proportional to 136.05, 203.80 and 78.08 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.05 : 203.80 = 78.08 : x
  2. Step 2: Convert to fraction form
    136.05/203.80 = 78.08/x
  3. Step 3: Cross multiply
    136.05x = 203.80 × 78.08
  4. Step 4: Simplify right side
    136.05x = 15,912.78
  5. Step 5: Solve for x
    x = 15,912.78/136.05
  6. Step 6: Final answer
    x = 116.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.