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Finding the Fourth Proportional to 136.30, 203.14 and 121.86

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Solution

The fourth proportional to 136.30, 203.14 and 121.86 is: 181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.30 : 203.14 = 121.86 : x
  2. Step 2: Convert to fraction form
    136.30/203.14 = 121.86/x
  3. Step 3: Cross multiply
    136.30x = 203.14 × 121.86
  4. Step 4: Simplify right side
    136.30x = 24,754.64
  5. Step 5: Solve for x
    x = 24,754.64/136.30
  6. Step 6: Final answer
    x = 181.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.