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Finding the Fourth Proportional to 127.68, 190.50 and 123.78

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Solution

The fourth proportional to 127.68, 190.50 and 123.78 is: 184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.68 : 190.50 = 123.78 : x
  2. Step 2: Convert to fraction form
    127.68/190.50 = 123.78/x
  3. Step 3: Cross multiply
    127.68x = 190.50 × 123.78
  4. Step 4: Simplify right side
    127.68x = 23,580.09
  5. Step 5: Solve for x
    x = 23,580.09/127.68
  6. Step 6: Final answer
    x = 184.68

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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.