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Finding the Fourth Proportional to 85.56, 127.71 and 76.56

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Solution

The fourth proportional to 85.56, 127.71 and 76.56 is: 114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.56 : 127.71 = 76.56 : x
  2. Step 2: Convert to fraction form
    85.56/127.71 = 76.56/x
  3. Step 3: Cross multiply
    85.56x = 127.71 × 76.56
  4. Step 4: Simplify right side
    85.56x = 9,777.48
  5. Step 5: Solve for x
    x = 9,777.48/85.56
  6. Step 6: Final answer
    x = 114.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.