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Finding the Fourth Proportional to 129.87, 193.98 and 111.48

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Solution

The fourth proportional to 129.87, 193.98 and 111.48 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.87 : 193.98 = 111.48 : x
  2. Step 2: Convert to fraction form
    129.87/193.98 = 111.48/x
  3. Step 3: Cross multiply
    129.87x = 193.98 × 111.48
  4. Step 4: Simplify right side
    129.87x = 21,624.89
  5. Step 5: Solve for x
    x = 21,624.89/129.87
  6. Step 6: Final answer
    x = 166.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.