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Finding the Fourth Proportional to 137.70, 190.13 and 91.14

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Solution

The fourth proportional to 137.70, 190.13 and 91.14 is: 125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 190.13 = 91.14 : x
  2. Step 2: Convert to fraction form
    137.70/190.13 = 91.14/x
  3. Step 3: Cross multiply
    137.70x = 190.13 × 91.14
  4. Step 4: Simplify right side
    137.70x = 17,327.28
  5. Step 5: Solve for x
    x = 17,327.28/137.70
  6. Step 6: Final answer
    x = 125.83

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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.