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Finding the Fourth Proportional to 85.74, 117.38 and 85.14

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Solution

The fourth proportional to 85.74, 117.38 and 85.14 is: 116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.74 : 117.38 = 85.14 : x
  2. Step 2: Convert to fraction form
    85.74/117.38 = 85.14/x
  3. Step 3: Cross multiply
    85.74x = 117.38 × 85.14
  4. Step 4: Simplify right side
    85.74x = 9,993.31
  5. Step 5: Solve for x
    x = 9,993.31/85.74
  6. Step 6: Final answer
    x = 116.55

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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.