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Finding the Fourth Proportional to 77.55, 107.06 and 59.21

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Solution

The fourth proportional to 77.55, 107.06 and 59.21 is: 81.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.55 : 107.06 = 59.21 : x
  2. Step 2: Convert to fraction form
    77.55/107.06 = 59.21/x
  3. Step 3: Cross multiply
    77.55x = 107.06 × 59.21
  4. Step 4: Simplify right side
    77.55x = 6,338.19
  5. Step 5: Solve for x
    x = 6,338.19/77.55
  6. Step 6: Final answer
    x = 81.73

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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.