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Finding the Fourth Proportional to 85.73, 116.78 and 85.32

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Solution

The fourth proportional to 85.73, 116.78 and 85.32 is: 116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.73 : 116.78 = 85.32 : x
  2. Step 2: Convert to fraction form
    85.73/116.78 = 85.32/x
  3. Step 3: Cross multiply
    85.73x = 116.78 × 85.32
  4. Step 4: Simplify right side
    85.73x = 9,963.24
  5. Step 5: Solve for x
    x = 9,963.24/85.73
  6. Step 6: Final answer
    x = 116.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.