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Finding the Fourth Proportional to 78.43, 108.73 and 75.91

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Solution

The fourth proportional to 78.43, 108.73 and 75.91 is: 105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.43 : 108.73 = 75.91 : x
  2. Step 2: Convert to fraction form
    78.43/108.73 = 75.91/x
  3. Step 3: Cross multiply
    78.43x = 108.73 × 75.91
  4. Step 4: Simplify right side
    78.43x = 8,253.69
  5. Step 5: Solve for x
    x = 8,253.69/78.43
  6. Step 6: Final answer
    x = 105.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.