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Finding the Fourth Proportional to 137.68, 190.08 and 106.60

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Solution

The fourth proportional to 137.68, 190.08 and 106.60 is: 147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.68 : 190.08 = 106.60 : x
  2. Step 2: Convert to fraction form
    137.68/190.08 = 106.60/x
  3. Step 3: Cross multiply
    137.68x = 190.08 × 106.60
  4. Step 4: Simplify right side
    137.68x = 20,262.53
  5. Step 5: Solve for x
    x = 20,262.53/137.68
  6. Step 6: Final answer
    x = 147.17

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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.