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Finding the Fourth Proportional to 127.42, 189.83 and 123.70

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Solution

The fourth proportional to 127.42, 189.83 and 123.70 is: 184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 189.83 = 123.70 : x
  2. Step 2: Convert to fraction form
    127.42/189.83 = 123.70/x
  3. Step 3: Cross multiply
    127.42x = 189.83 × 123.70
  4. Step 4: Simplify right side
    127.42x = 23,481.97
  5. Step 5: Solve for x
    x = 23,481.97/127.42
  6. Step 6: Final answer
    x = 184.29

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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.