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Finding the Fourth Proportional to 135.56, 186.98 and 83.72

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Solution

The fourth proportional to 135.56, 186.98 and 83.72 is: 115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 186.98 = 83.72 : x
  2. Step 2: Convert to fraction form
    135.56/186.98 = 83.72/x
  3. Step 3: Cross multiply
    135.56x = 186.98 × 83.72
  4. Step 4: Simplify right side
    135.56x = 15,653.97
  5. Step 5: Solve for x
    x = 15,653.97/135.56
  6. Step 6: Final answer
    x = 115.48

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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.