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Finding the Fourth Proportional to 111.61, 168.34 and 110.93

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Solution

The fourth proportional to 111.61, 168.34 and 110.93 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.61 : 168.34 = 110.93 : x
  2. Step 2: Convert to fraction form
    111.61/168.34 = 110.93/x
  3. Step 3: Cross multiply
    111.61x = 168.34 × 110.93
  4. Step 4: Simplify right side
    111.61x = 18,673.40
  5. Step 5: Solve for x
    x = 18,673.40/111.61
  6. Step 6: Final answer
    x = 167.32

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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.