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Finding the Fourth Proportional to 141.04, 194.70 and 106.21

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Solution

The fourth proportional to 141.04, 194.70 and 106.21 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.04 : 194.70 = 106.21 : x
  2. Step 2: Convert to fraction form
    141.04/194.70 = 106.21/x
  3. Step 3: Cross multiply
    141.04x = 194.70 × 106.21
  4. Step 4: Simplify right side
    141.04x = 20,679.09
  5. Step 5: Solve for x
    x = 20,679.09/141.04
  6. Step 6: Final answer
    x = 146.62

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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.