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Finding the Fourth Proportional to 127.31, 192.13 and 123.01

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Solution

The fourth proportional to 127.31, 192.13 and 123.01 is: 185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.31 : 192.13 = 123.01 : x
  2. Step 2: Convert to fraction form
    127.31/192.13 = 123.01/x
  3. Step 3: Cross multiply
    127.31x = 192.13 × 123.01
  4. Step 4: Simplify right side
    127.31x = 23,633.12
  5. Step 5: Solve for x
    x = 23,633.12/127.31
  6. Step 6: Final answer
    x = 185.64

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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.