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Finding the Fourth Proportional to 127.66, 192.35 and 106.46

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Solution

The fourth proportional to 127.66, 192.35 and 106.46 is: 160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.66 : 192.35 = 106.46 : x
  2. Step 2: Convert to fraction form
    127.66/192.35 = 106.46/x
  3. Step 3: Cross multiply
    127.66x = 192.35 × 106.46
  4. Step 4: Simplify right side
    127.66x = 20,477.58
  5. Step 5: Solve for x
    x = 20,477.58/127.66
  6. Step 6: Final answer
    x = 160.41

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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.