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Finding the Fourth Proportional to 127.68, 190.45 and 123.63

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Solution

The fourth proportional to 127.68, 190.45 and 123.63 is: 184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.68 : 190.45 = 123.63 : x
  2. Step 2: Convert to fraction form
    127.68/190.45 = 123.63/x
  3. Step 3: Cross multiply
    127.68x = 190.45 × 123.63
  4. Step 4: Simplify right side
    127.68x = 23,544.77
  5. Step 5: Solve for x
    x = 23,544.77/127.68
  6. Step 6: Final answer
    x = 184.41

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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.