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Finding the Fourth Proportional to 135.99, 187.67 and 106.83

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Solution

The fourth proportional to 135.99, 187.67 and 106.83 is: 147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.99 : 187.67 = 106.83 : x
  2. Step 2: Convert to fraction form
    135.99/187.67 = 106.83/x
  3. Step 3: Cross multiply
    135.99x = 187.67 × 106.83
  4. Step 4: Simplify right side
    135.99x = 20,048.79
  5. Step 5: Solve for x
    x = 20,048.79/135.99
  6. Step 6: Final answer
    x = 147.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.