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Finding the Fourth Proportional to 127.99, 192.12 and 102.47

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Solution

The fourth proportional to 127.99, 192.12 and 102.47 is: 153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.99 : 192.12 = 102.47 : x
  2. Step 2: Convert to fraction form
    127.99/192.12 = 102.47/x
  3. Step 3: Cross multiply
    127.99x = 192.12 × 102.47
  4. Step 4: Simplify right side
    127.99x = 19,686.54
  5. Step 5: Solve for x
    x = 19,686.54/127.99
  6. Step 6: Final answer
    x = 153.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.