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Finding the Fourth Proportional to 141.12, 193.77 and 135.72

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Solution

The fourth proportional to 141.12, 193.77 and 135.72 is: 186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.12 : 193.77 = 135.72 : x
  2. Step 2: Convert to fraction form
    141.12/193.77 = 135.72/x
  3. Step 3: Cross multiply
    141.12x = 193.77 × 135.72
  4. Step 4: Simplify right side
    141.12x = 26,298.46
  5. Step 5: Solve for x
    x = 26,298.46/141.12
  6. Step 6: Final answer
    x = 186.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.