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Finding the Fourth Proportional to 137.18, 206.49 and 124.63

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Solution

The fourth proportional to 137.18, 206.49 and 124.63 is: 187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.18 : 206.49 = 124.63 : x
  2. Step 2: Convert to fraction form
    137.18/206.49 = 124.63/x
  3. Step 3: Cross multiply
    137.18x = 206.49 × 124.63
  4. Step 4: Simplify right side
    137.18x = 25,734.85
  5. Step 5: Solve for x
    x = 25,734.85/137.18
  6. Step 6: Final answer
    x = 187.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.