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Finding the Fourth Proportional to 122.24, 184.02 and 111.06

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Solution

The fourth proportional to 122.24, 184.02 and 111.06 is: 167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.24 : 184.02 = 111.06 : x
  2. Step 2: Convert to fraction form
    122.24/184.02 = 111.06/x
  3. Step 3: Cross multiply
    122.24x = 184.02 × 111.06
  4. Step 4: Simplify right side
    122.24x = 20,437.26
  5. Step 5: Solve for x
    x = 20,437.26/122.24
  6. Step 6: Final answer
    x = 167.20

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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.