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Finding the Fourth Proportional to 127.94, 192.66 and 106.47

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Solution

The fourth proportional to 127.94, 192.66 and 106.47 is: 160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.94 : 192.66 = 106.47 : x
  2. Step 2: Convert to fraction form
    127.94/192.66 = 106.47/x
  3. Step 3: Cross multiply
    127.94x = 192.66 × 106.47
  4. Step 4: Simplify right side
    127.94x = 20,512.51
  5. Step 5: Solve for x
    x = 20,512.51/127.94
  6. Step 6: Final answer
    x = 160.34

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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.