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Finding the Fourth Proportional to 137.59, 189.57 and 93.85

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Solution

The fourth proportional to 137.59, 189.57 and 93.85 is: 129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.59 : 189.57 = 93.85 : x
  2. Step 2: Convert to fraction form
    137.59/189.57 = 93.85/x
  3. Step 3: Cross multiply
    137.59x = 189.57 × 93.85
  4. Step 4: Simplify right side
    137.59x = 17,791.14
  5. Step 5: Solve for x
    x = 17,791.14/137.59
  6. Step 6: Final answer
    x = 129.31

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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.