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Finding the Fourth Proportional to 127.97, 192.06 and 73.18

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Solution

The fourth proportional to 127.97, 192.06 and 73.18 is: 109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.97 : 192.06 = 73.18 : x
  2. Step 2: Convert to fraction form
    127.97/192.06 = 73.18/x
  3. Step 3: Cross multiply
    127.97x = 192.06 × 73.18
  4. Step 4: Simplify right side
    127.97x = 14,055.88
  5. Step 5: Solve for x
    x = 14,055.88/127.97
  6. Step 6: Final answer
    x = 109.83

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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.