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Finding the Fourth Proportional to 85.36, 117.90 and 65.92

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Solution

The fourth proportional to 85.36, 117.90 and 65.92 is: 91.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.36 : 117.90 = 65.92 : x
  2. Step 2: Convert to fraction form
    85.36/117.90 = 65.92/x
  3. Step 3: Cross multiply
    85.36x = 117.90 × 65.92
  4. Step 4: Simplify right side
    85.36x = 7,771.97
  5. Step 5: Solve for x
    x = 7,771.97/85.36
  6. Step 6: Final answer
    x = 91.05

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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.