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Finding the Fourth Proportional to 127.80, 192.74 and 120.78

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Solution

The fourth proportional to 127.80, 192.74 and 120.78 is: 182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.80 : 192.74 = 120.78 : x
  2. Step 2: Convert to fraction form
    127.80/192.74 = 120.78/x
  3. Step 3: Cross multiply
    127.80x = 192.74 × 120.78
  4. Step 4: Simplify right side
    127.80x = 23,278.53
  5. Step 5: Solve for x
    x = 23,278.53/127.80
  6. Step 6: Final answer
    x = 182.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.