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Finding the Fourth Proportional to 137.61, 189.86 and 84.42

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Solution

The fourth proportional to 137.61, 189.86 and 84.42 is: 116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.61 : 189.86 = 84.42 : x
  2. Step 2: Convert to fraction form
    137.61/189.86 = 84.42/x
  3. Step 3: Cross multiply
    137.61x = 189.86 × 84.42
  4. Step 4: Simplify right side
    137.61x = 16,027.98
  5. Step 5: Solve for x
    x = 16,027.98/137.61
  6. Step 6: Final answer
    x = 116.47

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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.