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Finding the Fourth Proportional to 135.14, 186.50 and 76.14

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Solution

The fourth proportional to 135.14, 186.50 and 76.14 is: 105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 186.50 = 76.14 : x
  2. Step 2: Convert to fraction form
    135.14/186.50 = 76.14/x
  3. Step 3: Cross multiply
    135.14x = 186.50 × 76.14
  4. Step 4: Simplify right side
    135.14x = 14,200.11
  5. Step 5: Solve for x
    x = 14,200.11/135.14
  6. Step 6: Final answer
    x = 105.08

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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.