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Finding the Fourth Proportional to 122.01, 167.53 and 118.84

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Solution

The fourth proportional to 122.01, 167.53 and 118.84 is: 163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.01 : 167.53 = 118.84 : x
  2. Step 2: Convert to fraction form
    122.01/167.53 = 118.84/x
  3. Step 3: Cross multiply
    122.01x = 167.53 × 118.84
  4. Step 4: Simplify right side
    122.01x = 19,909.22
  5. Step 5: Solve for x
    x = 19,909.22/122.01
  6. Step 6: Final answer
    x = 163.17

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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.