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Finding the Fourth Proportional to 102.24, 141.03 and 81.49

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Solution

The fourth proportional to 102.24, 141.03 and 81.49 is: 112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 141.03 = 81.49 : x
  2. Step 2: Convert to fraction form
    102.24/141.03 = 81.49/x
  3. Step 3: Cross multiply
    102.24x = 141.03 × 81.49
  4. Step 4: Simplify right side
    102.24x = 11,491.42
  5. Step 5: Solve for x
    x = 11,491.42/102.24
  6. Step 6: Final answer
    x = 112.40

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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.