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Finding the Fourth Proportional to 77.56, 107.04 and 43.06

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Solution

The fourth proportional to 77.56, 107.04 and 43.06 is: 59.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.56 : 107.04 = 43.06 : x
  2. Step 2: Convert to fraction form
    77.56/107.04 = 43.06/x
  3. Step 3: Cross multiply
    77.56x = 107.04 × 43.06
  4. Step 4: Simplify right side
    77.56x = 4,609.14
  5. Step 5: Solve for x
    x = 4,609.14/77.56
  6. Step 6: Final answer
    x = 59.43

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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.