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Finding the Fourth Proportional to 102.87, 141.73 and 84.42

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Solution

The fourth proportional to 102.87, 141.73 and 84.42 is: 116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.87 : 141.73 = 84.42 : x
  2. Step 2: Convert to fraction form
    102.87/141.73 = 84.42/x
  3. Step 3: Cross multiply
    102.87x = 141.73 × 84.42
  4. Step 4: Simplify right side
    102.87x = 11,964.64
  5. Step 5: Solve for x
    x = 11,964.64/102.87
  6. Step 6: Final answer
    x = 116.31

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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.