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Finding the Fourth Proportional to 137.61, 189.99 and 82.35

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Solution

The fourth proportional to 137.61, 189.99 and 82.35 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.61 : 189.99 = 82.35 : x
  2. Step 2: Convert to fraction form
    137.61/189.99 = 82.35/x
  3. Step 3: Cross multiply
    137.61x = 189.99 × 82.35
  4. Step 4: Simplify right side
    137.61x = 15,645.68
  5. Step 5: Solve for x
    x = 15,645.68/137.61
  6. Step 6: Final answer
    x = 113.70

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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.