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Finding the Fourth Proportional to 134.71, 185.89 and 101.91

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Solution

The fourth proportional to 134.71, 185.89 and 101.91 is: 140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.71 : 185.89 = 101.91 : x
  2. Step 2: Convert to fraction form
    134.71/185.89 = 101.91/x
  3. Step 3: Cross multiply
    134.71x = 185.89 × 101.91
  4. Step 4: Simplify right side
    134.71x = 18,944.05
  5. Step 5: Solve for x
    x = 18,944.05/134.71
  6. Step 6: Final answer
    x = 140.63

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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.