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Finding the Fourth Proportional to 135.20, 186.45 and 86.09

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Solution

The fourth proportional to 135.20, 186.45 and 86.09 is: 118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.20 : 186.45 = 86.09 : x
  2. Step 2: Convert to fraction form
    135.20/186.45 = 86.09/x
  3. Step 3: Cross multiply
    135.20x = 186.45 × 86.09
  4. Step 4: Simplify right side
    135.20x = 16,050.55
  5. Step 5: Solve for x
    x = 16,050.55/135.20
  6. Step 6: Final answer
    x = 118.72

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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.