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Finding the Fourth Proportional to 128.78, 193.16 and 42.13

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Solution

The fourth proportional to 128.78, 193.16 and 42.13 is: 63.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.78 : 193.16 = 42.13 : x
  2. Step 2: Convert to fraction form
    128.78/193.16 = 42.13/x
  3. Step 3: Cross multiply
    128.78x = 193.16 × 42.13
  4. Step 4: Simplify right side
    128.78x = 8,137.28
  5. Step 5: Solve for x
    x = 8,137.28/128.78
  6. Step 6: Final answer
    x = 63.19

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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.