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Finding the Fourth Proportional to 137.15, 189.10 and 116.09

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Solution

The fourth proportional to 137.15, 189.10 and 116.09 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.15 : 189.10 = 116.09 : x
  2. Step 2: Convert to fraction form
    137.15/189.10 = 116.09/x
  3. Step 3: Cross multiply
    137.15x = 189.10 × 116.09
  4. Step 4: Simplify right side
    137.15x = 21,952.62
  5. Step 5: Solve for x
    x = 21,952.62/137.15
  6. Step 6: Final answer
    x = 160.06

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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.