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Finding the Fourth Proportional to 128.47, 192.56 and 67.63

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Solution

The fourth proportional to 128.47, 192.56 and 67.63 is: 101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.47 : 192.56 = 67.63 : x
  2. Step 2: Convert to fraction form
    128.47/192.56 = 67.63/x
  3. Step 3: Cross multiply
    128.47x = 192.56 × 67.63
  4. Step 4: Simplify right side
    128.47x = 13,022.49
  5. Step 5: Solve for x
    x = 13,022.49/128.47
  6. Step 6: Final answer
    x = 101.37

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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.