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Finding the Fourth Proportional to 127.84, 192.46 and 105.10

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Solution

The fourth proportional to 127.84, 192.46 and 105.10 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.84 : 192.46 = 105.10 : x
  2. Step 2: Convert to fraction form
    127.84/192.46 = 105.10/x
  3. Step 3: Cross multiply
    127.84x = 192.46 × 105.10
  4. Step 4: Simplify right side
    127.84x = 20,227.55
  5. Step 5: Solve for x
    x = 20,227.55/127.84
  6. Step 6: Final answer
    x = 158.23

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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.