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Finding the Fourth Proportional to 85.73, 117.59 and 85.05

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Solution

The fourth proportional to 85.73, 117.59 and 85.05 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.73 : 117.59 = 85.05 : x
  2. Step 2: Convert to fraction form
    85.73/117.59 = 85.05/x
  3. Step 3: Cross multiply
    85.73x = 117.59 × 85.05
  4. Step 4: Simplify right side
    85.73x = 10,000.60
  5. Step 5: Solve for x
    x = 10,000.60/85.73
  6. Step 6: Final answer
    x = 116.66

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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.