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Finding the Fourth Proportional to 127.98, 192.06 and 120.78

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Solution

The fourth proportional to 127.98, 192.06 and 120.78 is: 181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.98 : 192.06 = 120.78 : x
  2. Step 2: Convert to fraction form
    127.98/192.06 = 120.78/x
  3. Step 3: Cross multiply
    127.98x = 192.06 × 120.78
  4. Step 4: Simplify right side
    127.98x = 23,197.01
  5. Step 5: Solve for x
    x = 23,197.01/127.98
  6. Step 6: Final answer
    x = 181.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.