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Finding the Fourth Proportional to 102.78, 141.91 and 79.43

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Solution

The fourth proportional to 102.78, 141.91 and 79.43 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.78 : 141.91 = 79.43 : x
  2. Step 2: Convert to fraction form
    102.78/141.91 = 79.43/x
  3. Step 3: Cross multiply
    102.78x = 141.91 × 79.43
  4. Step 4: Simplify right side
    102.78x = 11,271.36
  5. Step 5: Solve for x
    x = 11,271.36/102.78
  6. Step 6: Final answer
    x = 109.66

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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.