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Finding the Fourth Proportional to 122.23, 184.01 and 111.47

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Solution

The fourth proportional to 122.23, 184.01 and 111.47 is: 167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.23 : 184.01 = 111.47 : x
  2. Step 2: Convert to fraction form
    122.23/184.01 = 111.47/x
  3. Step 3: Cross multiply
    122.23x = 184.01 × 111.47
  4. Step 4: Simplify right side
    122.23x = 20,510.74
  5. Step 5: Solve for x
    x = 20,510.74/122.23
  6. Step 6: Final answer
    x = 167.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.