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Finding the Fourth Proportional to 141.06, 193.50 and 127.14

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Solution

The fourth proportional to 141.06, 193.50 and 127.14 is: 174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.06 : 193.50 = 127.14 : x
  2. Step 2: Convert to fraction form
    141.06/193.50 = 127.14/x
  3. Step 3: Cross multiply
    141.06x = 193.50 × 127.14
  4. Step 4: Simplify right side
    141.06x = 24,601.59
  5. Step 5: Solve for x
    x = 24,601.59/141.06
  6. Step 6: Final answer
    x = 174.41

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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.