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Finding the Fourth Proportional to 141.07, 194.88 and 111.76

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Solution

The fourth proportional to 141.07, 194.88 and 111.76 is: 154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.07 : 194.88 = 111.76 : x
  2. Step 2: Convert to fraction form
    141.07/194.88 = 111.76/x
  3. Step 3: Cross multiply
    141.07x = 194.88 × 111.76
  4. Step 4: Simplify right side
    141.07x = 21,779.30
  5. Step 5: Solve for x
    x = 21,779.30/141.07
  6. Step 6: Final answer
    x = 154.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.