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Finding the Fourth Proportional to 84.81, 127.85 and 83.60

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Solution

The fourth proportional to 84.81, 127.85 and 83.60 is: 126.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.81 : 127.85 = 83.60 : x
  2. Step 2: Convert to fraction form
    84.81/127.85 = 83.60/x
  3. Step 3: Cross multiply
    84.81x = 127.85 × 83.60
  4. Step 4: Simplify right side
    84.81x = 10,687.68
  5. Step 5: Solve for x
    x = 10,687.68/84.81
  6. Step 6: Final answer
    x = 126.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.