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Finding the Fourth Proportional to 128.19, 192.31 and 93.18

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Solution

The fourth proportional to 128.19, 192.31 and 93.18 is: 139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.19 : 192.31 = 93.18 : x
  2. Step 2: Convert to fraction form
    128.19/192.31 = 93.18/x
  3. Step 3: Cross multiply
    128.19x = 192.31 × 93.18
  4. Step 4: Simplify right side
    128.19x = 17,918.02
  5. Step 5: Solve for x
    x = 17,918.02/128.19
  6. Step 6: Final answer
    x = 139.78

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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.