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Finding the Fourth Proportional to 85.80, 118.26 and 71.91

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Solution

The fourth proportional to 85.80, 118.26 and 71.91 is: 99.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.80 : 118.26 = 71.91 : x
  2. Step 2: Convert to fraction form
    85.80/118.26 = 71.91/x
  3. Step 3: Cross multiply
    85.80x = 118.26 × 71.91
  4. Step 4: Simplify right side
    85.80x = 8,504.08
  5. Step 5: Solve for x
    x = 8,504.08/85.80
  6. Step 6: Final answer
    x = 99.12

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