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Finding the Fourth Proportional to 85.22, 117.68 and 77.93

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Solution

The fourth proportional to 85.22, 117.68 and 77.93 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.22 : 117.68 = 77.93 : x
  2. Step 2: Convert to fraction form
    85.22/117.68 = 77.93/x
  3. Step 3: Cross multiply
    85.22x = 117.68 × 77.93
  4. Step 4: Simplify right side
    85.22x = 9,169.82
  5. Step 5: Solve for x
    x = 9,169.82/85.22
  6. Step 6: Final answer
    x = 107.61

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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.