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Finding the Fourth Proportional to 127.65, 190.60 and 112.31

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Solution

The fourth proportional to 127.65, 190.60 and 112.31 is: 167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.65 : 190.60 = 112.31 : x
  2. Step 2: Convert to fraction form
    127.65/190.60 = 112.31/x
  3. Step 3: Cross multiply
    127.65x = 190.60 × 112.31
  4. Step 4: Simplify right side
    127.65x = 21,406.93
  5. Step 5: Solve for x
    x = 21,406.93/127.65
  6. Step 6: Final answer
    x = 167.70

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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.