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Finding the Fourth Proportional to 135.60, 186.96 and 83.76

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Solution

The fourth proportional to 135.60, 186.96 and 83.76 is: 115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.60 : 186.96 = 83.76 : x
  2. Step 2: Convert to fraction form
    135.60/186.96 = 83.76/x
  3. Step 3: Cross multiply
    135.60x = 186.96 × 83.76
  4. Step 4: Simplify right side
    135.60x = 15,659.77
  5. Step 5: Solve for x
    x = 15,659.77/135.60
  6. Step 6: Final answer
    x = 115.49

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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.