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Finding the Fourth Proportional to 68.92, 103.61 and 48.78

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Solution

The fourth proportional to 68.92, 103.61 and 48.78 is: 73.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.92 : 103.61 = 48.78 : x
  2. Step 2: Convert to fraction form
    68.92/103.61 = 48.78/x
  3. Step 3: Cross multiply
    68.92x = 103.61 × 48.78
  4. Step 4: Simplify right side
    68.92x = 5,053.58
  5. Step 5: Solve for x
    x = 5,053.58/68.92
  6. Step 6: Final answer
    x = 73.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.