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Finding the Fourth Proportional to 102.67, 141.85 and 78.23

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Solution

The fourth proportional to 102.67, 141.85 and 78.23 is: 108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.67 : 141.85 = 78.23 : x
  2. Step 2: Convert to fraction form
    102.67/141.85 = 78.23/x
  3. Step 3: Cross multiply
    102.67x = 141.85 × 78.23
  4. Step 4: Simplify right side
    102.67x = 11,097.38
  5. Step 5: Solve for x
    x = 11,097.38/102.67
  6. Step 6: Final answer
    x = 108.09

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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.