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Finding the Fourth Proportional to 91.56, 126.23 and 76.83

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Solution

The fourth proportional to 91.56, 126.23 and 76.83 is: 105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.56 : 126.23 = 76.83 : x
  2. Step 2: Convert to fraction form
    91.56/126.23 = 76.83/x
  3. Step 3: Cross multiply
    91.56x = 126.23 × 76.83
  4. Step 4: Simplify right side
    91.56x = 9,697.24
  5. Step 5: Solve for x
    x = 9,697.24/91.56
  6. Step 6: Final answer
    x = 105.91

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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.