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Finding the Fourth Proportional to 122.53, 167.68 and 120.01

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Solution

The fourth proportional to 122.53, 167.68 and 120.01 is: 164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.53 : 167.68 = 120.01 : x
  2. Step 2: Convert to fraction form
    122.53/167.68 = 120.01/x
  3. Step 3: Cross multiply
    122.53x = 167.68 × 120.01
  4. Step 4: Simplify right side
    122.53x = 20,123.28
  5. Step 5: Solve for x
    x = 20,123.28/122.53
  6. Step 6: Final answer
    x = 164.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.