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Finding the Fourth Proportional to 136.14, 187.90 and 77.13

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Solution

The fourth proportional to 136.14, 187.90 and 77.13 is: 106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.14 : 187.90 = 77.13 : x
  2. Step 2: Convert to fraction form
    136.14/187.90 = 77.13/x
  3. Step 3: Cross multiply
    136.14x = 187.90 × 77.13
  4. Step 4: Simplify right side
    136.14x = 14,493.47
  5. Step 5: Solve for x
    x = 14,493.47/136.14
  6. Step 6: Final answer
    x = 106.46

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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.