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Finding the Fourth Proportional to 78.83, 108.78 and 49.73

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Solution

The fourth proportional to 78.83, 108.78 and 49.73 is: 68.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.83 : 108.78 = 49.73 : x
  2. Step 2: Convert to fraction form
    78.83/108.78 = 49.73/x
  3. Step 3: Cross multiply
    78.83x = 108.78 × 49.73
  4. Step 4: Simplify right side
    78.83x = 5,409.63
  5. Step 5: Solve for x
    x = 5,409.63/78.83
  6. Step 6: Final answer
    x = 68.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.