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Finding the Fourth Proportional to 111.83, 167.40 and 73.23

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Solution

The fourth proportional to 111.83, 167.40 and 73.23 is: 109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.83 : 167.40 = 73.23 : x
  2. Step 2: Convert to fraction form
    111.83/167.40 = 73.23/x
  3. Step 3: Cross multiply
    111.83x = 167.40 × 73.23
  4. Step 4: Simplify right side
    111.83x = 12,258.70
  5. Step 5: Solve for x
    x = 12,258.70/111.83
  6. Step 6: Final answer
    x = 109.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.