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Finding the Fourth Proportional to 137.72, 190.08 and 85.27

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Solution

The fourth proportional to 137.72, 190.08 and 85.27 is: 117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 190.08 = 85.27 : x
  2. Step 2: Convert to fraction form
    137.72/190.08 = 85.27/x
  3. Step 3: Cross multiply
    137.72x = 190.08 × 85.27
  4. Step 4: Simplify right side
    137.72x = 16,208.12
  5. Step 5: Solve for x
    x = 16,208.12/137.72
  6. Step 6: Final answer
    x = 117.69

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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.