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Finding the Fourth Proportional to 136.40, 203.47 and 122.72

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Solution

The fourth proportional to 136.40, 203.47 and 122.72 is: 183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.40 : 203.47 = 122.72 : x
  2. Step 2: Convert to fraction form
    136.40/203.47 = 122.72/x
  3. Step 3: Cross multiply
    136.40x = 203.47 × 122.72
  4. Step 4: Simplify right side
    136.40x = 24,969.84
  5. Step 5: Solve for x
    x = 24,969.84/136.40
  6. Step 6: Final answer
    x = 183.06

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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.