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Finding the Fourth Proportional to 136.06, 203.85 and 114.55

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Solution

The fourth proportional to 136.06, 203.85 and 114.55 is: 171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 203.85 = 114.55 : x
  2. Step 2: Convert to fraction form
    136.06/203.85 = 114.55/x
  3. Step 3: Cross multiply
    136.06x = 203.85 × 114.55
  4. Step 4: Simplify right side
    136.06x = 23,350.51
  5. Step 5: Solve for x
    x = 23,350.51/136.06
  6. Step 6: Final answer
    x = 171.62

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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.