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Finding the Fourth Proportional to 137.40, 205.82 and 83.12

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Solution

The fourth proportional to 137.40, 205.82 and 83.12 is: 124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.40 : 205.82 = 83.12 : x
  2. Step 2: Convert to fraction form
    137.40/205.82 = 83.12/x
  3. Step 3: Cross multiply
    137.40x = 205.82 × 83.12
  4. Step 4: Simplify right side
    137.40x = 17,107.76
  5. Step 5: Solve for x
    x = 17,107.76/137.40
  6. Step 6: Final answer
    x = 124.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.