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Finding the Fourth Proportional to 137.55, 188.75 and 125.17

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Solution

The fourth proportional to 137.55, 188.75 and 125.17 is: 171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.55 : 188.75 = 125.17 : x
  2. Step 2: Convert to fraction form
    137.55/188.75 = 125.17/x
  3. Step 3: Cross multiply
    137.55x = 188.75 × 125.17
  4. Step 4: Simplify right side
    137.55x = 23,625.84
  5. Step 5: Solve for x
    x = 23,625.84/137.55
  6. Step 6: Final answer
    x = 171.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.