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Finding the Fourth Proportional to 137.14, 189.21 and 85.36

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Solution

The fourth proportional to 137.14, 189.21 and 85.36 is: 117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.14 : 189.21 = 85.36 : x
  2. Step 2: Convert to fraction form
    137.14/189.21 = 85.36/x
  3. Step 3: Cross multiply
    137.14x = 189.21 × 85.36
  4. Step 4: Simplify right side
    137.14x = 16,150.97
  5. Step 5: Solve for x
    x = 16,150.97/137.14
  6. Step 6: Final answer
    x = 117.77

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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.