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Finding the Fourth Proportional to 127.20, 189.57 and 124.23

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Solution

The fourth proportional to 127.20, 189.57 and 124.23 is: 185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 189.57 = 124.23 : x
  2. Step 2: Convert to fraction form
    127.20/189.57 = 124.23/x
  3. Step 3: Cross multiply
    127.20x = 189.57 × 124.23
  4. Step 4: Simplify right side
    127.20x = 23,550.28
  5. Step 5: Solve for x
    x = 23,550.28/127.20
  6. Step 6: Final answer
    x = 185.14

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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.