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Finding the Fourth Proportional to 127.84, 190.88 and 111.64

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Solution

The fourth proportional to 127.84, 190.88 and 111.64 is: 166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.84 : 190.88 = 111.64 : x
  2. Step 2: Convert to fraction form
    127.84/190.88 = 111.64/x
  3. Step 3: Cross multiply
    127.84x = 190.88 × 111.64
  4. Step 4: Simplify right side
    127.84x = 21,309.84
  5. Step 5: Solve for x
    x = 21,309.84/127.84
  6. Step 6: Final answer
    x = 166.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.