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Finding the Fourth Proportional to 127.61, 192.49 and 123.51

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Solution

The fourth proportional to 127.61, 192.49 and 123.51 is: 186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.61 : 192.49 = 123.51 : x
  2. Step 2: Convert to fraction form
    127.61/192.49 = 123.51/x
  3. Step 3: Cross multiply
    127.61x = 192.49 × 123.51
  4. Step 4: Simplify right side
    127.61x = 23,775.15
  5. Step 5: Solve for x
    x = 23,775.15/127.61
  6. Step 6: Final answer
    x = 186.31

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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.