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Finding the Fourth Proportional to 102.43, 141.28 and 77.79

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Solution

The fourth proportional to 102.43, 141.28 and 77.79 is: 107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.43 : 141.28 = 77.79 : x
  2. Step 2: Convert to fraction form
    102.43/141.28 = 77.79/x
  3. Step 3: Cross multiply
    102.43x = 141.28 × 77.79
  4. Step 4: Simplify right side
    102.43x = 10,990.17
  5. Step 5: Solve for x
    x = 10,990.17/102.43
  6. Step 6: Final answer
    x = 107.29

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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.