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Finding the Fourth Proportional to 128.54, 193.23 and 101.81

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Solution

The fourth proportional to 128.54, 193.23 and 101.81 is: 153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.54 : 193.23 = 101.81 : x
  2. Step 2: Convert to fraction form
    128.54/193.23 = 101.81/x
  3. Step 3: Cross multiply
    128.54x = 193.23 × 101.81
  4. Step 4: Simplify right side
    128.54x = 19,671.78
  5. Step 5: Solve for x
    x = 19,671.78/128.54
  6. Step 6: Final answer
    x = 153.05

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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.