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Finding the Fourth Proportional to 102.92, 141.97 and 78.32

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Solution

The fourth proportional to 102.92, 141.97 and 78.32 is: 108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 141.97 = 78.32 : x
  2. Step 2: Convert to fraction form
    102.92/141.97 = 78.32/x
  3. Step 3: Cross multiply
    102.92x = 141.97 × 78.32
  4. Step 4: Simplify right side
    102.92x = 11,118.60
  5. Step 5: Solve for x
    x = 11,118.60/102.92
  6. Step 6: Final answer
    x = 108.03

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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.