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Finding the Fourth Proportional to 136.40, 187.96 and 105.32

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Solution

The fourth proportional to 136.40, 187.96 and 105.32 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.40 : 187.96 = 105.32 : x
  2. Step 2: Convert to fraction form
    136.40/187.96 = 105.32/x
  3. Step 3: Cross multiply
    136.40x = 187.96 × 105.32
  4. Step 4: Simplify right side
    136.40x = 19,795.95
  5. Step 5: Solve for x
    x = 19,795.95/136.40
  6. Step 6: Final answer
    x = 145.13

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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.