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Finding the Fourth Proportional to 137.65, 189.91 and 82.37

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Solution

The fourth proportional to 137.65, 189.91 and 82.37 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 189.91 = 82.37 : x
  2. Step 2: Convert to fraction form
    137.65/189.91 = 82.37/x
  3. Step 3: Cross multiply
    137.65x = 189.91 × 82.37
  4. Step 4: Simplify right side
    137.65x = 15,642.89
  5. Step 5: Solve for x
    x = 15,642.89/137.65
  6. Step 6: Final answer
    x = 113.64

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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.