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Finding the Fourth Proportional to 141.56, 194.19 and 127.64

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Solution

The fourth proportional to 141.56, 194.19 and 127.64 is: 175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.56 : 194.19 = 127.64 : x
  2. Step 2: Convert to fraction form
    141.56/194.19 = 127.64/x
  3. Step 3: Cross multiply
    141.56x = 194.19 × 127.64
  4. Step 4: Simplify right side
    141.56x = 24,785.77
  5. Step 5: Solve for x
    x = 24,785.77/141.56
  6. Step 6: Final answer
    x = 175.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.