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Finding the Fourth Proportional to 85.71, 117.56 and 84.23

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Solution

The fourth proportional to 85.71, 117.56 and 84.23 is: 115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.71 : 117.56 = 84.23 : x
  2. Step 2: Convert to fraction form
    85.71/117.56 = 84.23/x
  3. Step 3: Cross multiply
    85.71x = 117.56 × 84.23
  4. Step 4: Simplify right side
    85.71x = 9,902.08
  5. Step 5: Solve for x
    x = 9,902.08/85.71
  6. Step 6: Final answer
    x = 115.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.