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Finding the Fourth Proportional to 137.85, 190.13 and 106.85

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Solution

The fourth proportional to 137.85, 190.13 and 106.85 is: 147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.85 : 190.13 = 106.85 : x
  2. Step 2: Convert to fraction form
    137.85/190.13 = 106.85/x
  3. Step 3: Cross multiply
    137.85x = 190.13 × 106.85
  4. Step 4: Simplify right side
    137.85x = 20,315.33
  5. Step 5: Solve for x
    x = 20,315.33/137.85
  6. Step 6: Final answer
    x = 147.38

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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.