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Finding the Fourth Proportional to 122.34, 184.62 and 113.43

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Solution

The fourth proportional to 122.34, 184.62 and 113.43 is: 171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 184.62 = 113.43 : x
  2. Step 2: Convert to fraction form
    122.34/184.62 = 113.43/x
  3. Step 3: Cross multiply
    122.34x = 184.62 × 113.43
  4. Step 4: Simplify right side
    122.34x = 20,941.45
  5. Step 5: Solve for x
    x = 20,941.45/122.34
  6. Step 6: Final answer
    x = 171.17

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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.