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Finding the Fourth Proportional to 137.30, 189.48 and 105.86

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Solution

The fourth proportional to 137.30, 189.48 and 105.86 is: 146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.30 : 189.48 = 105.86 : x
  2. Step 2: Convert to fraction form
    137.30/189.48 = 105.86/x
  3. Step 3: Cross multiply
    137.30x = 189.48 × 105.86
  4. Step 4: Simplify right side
    137.30x = 20,058.35
  5. Step 5: Solve for x
    x = 20,058.35/137.30
  6. Step 6: Final answer
    x = 146.09

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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.