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Finding the Fourth Proportional to 85.22, 117.61 and 80.01

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Solution

The fourth proportional to 85.22, 117.61 and 80.01 is: 110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.22 : 117.61 = 80.01 : x
  2. Step 2: Convert to fraction form
    85.22/117.61 = 80.01/x
  3. Step 3: Cross multiply
    85.22x = 117.61 × 80.01
  4. Step 4: Simplify right side
    85.22x = 9,409.59
  5. Step 5: Solve for x
    x = 9,409.59/85.22
  6. Step 6: Final answer
    x = 110.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.