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Finding the Fourth Proportional to 136.63, 188.42 and 105.50

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Solution

The fourth proportional to 136.63, 188.42 and 105.50 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.63 : 188.42 = 105.50 : x
  2. Step 2: Convert to fraction form
    136.63/188.42 = 105.50/x
  3. Step 3: Cross multiply
    136.63x = 188.42 × 105.50
  4. Step 4: Simplify right side
    136.63x = 19,877.63
  5. Step 5: Solve for x
    x = 19,877.63/136.63
  6. Step 6: Final answer
    x = 145.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.