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Finding the Fourth Proportional to 90.96, 125.87 and 77.83

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Solution

The fourth proportional to 90.96, 125.87 and 77.83 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.96 : 125.87 = 77.83 : x
  2. Step 2: Convert to fraction form
    90.96/125.87 = 77.83/x
  3. Step 3: Cross multiply
    90.96x = 125.87 × 77.83
  4. Step 4: Simplify right side
    90.96x = 9,796.46
  5. Step 5: Solve for x
    x = 9,796.46/90.96
  6. Step 6: Final answer
    x = 107.70

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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.