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Finding the Fourth Proportional to 141.50, 194.62 and 113.81

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Solution

The fourth proportional to 141.50, 194.62 and 113.81 is: 156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.50 : 194.62 = 113.81 : x
  2. Step 2: Convert to fraction form
    141.50/194.62 = 113.81/x
  3. Step 3: Cross multiply
    141.50x = 194.62 × 113.81
  4. Step 4: Simplify right side
    141.50x = 22,148.16
  5. Step 5: Solve for x
    x = 22,148.16/141.50
  6. Step 6: Final answer
    x = 156.53

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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.