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Finding the Fourth Proportional to 103.52, 142.78 and 77.35

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Solution

The fourth proportional to 103.52, 142.78 and 77.35 is: 106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.52 : 142.78 = 77.35 : x
  2. Step 2: Convert to fraction form
    103.52/142.78 = 77.35/x
  3. Step 3: Cross multiply
    103.52x = 142.78 × 77.35
  4. Step 4: Simplify right side
    103.52x = 11,042.93
  5. Step 5: Solve for x
    x = 11,042.93/103.52
  6. Step 6: Final answer
    x = 106.68

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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.