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Finding the Fourth Proportional to 127.39, 189.81 and 113.75

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Solution

The fourth proportional to 127.39, 189.81 and 113.75 is: 169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.39 : 189.81 = 113.75 : x
  2. Step 2: Convert to fraction form
    127.39/189.81 = 113.75/x
  3. Step 3: Cross multiply
    127.39x = 189.81 × 113.75
  4. Step 4: Simplify right side
    127.39x = 21,590.41
  5. Step 5: Solve for x
    x = 21,590.41/127.39
  6. Step 6: Final answer
    x = 169.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.