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Finding the Fourth Proportional to 132.50, 199.73 and 111.24

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Solution

The fourth proportional to 132.50, 199.73 and 111.24 is: 167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.50 : 199.73 = 111.24 : x
  2. Step 2: Convert to fraction form
    132.50/199.73 = 111.24/x
  3. Step 3: Cross multiply
    132.50x = 199.73 × 111.24
  4. Step 4: Simplify right side
    132.50x = 22,218.24
  5. Step 5: Solve for x
    x = 22,218.24/132.50
  6. Step 6: Final answer
    x = 167.68

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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.