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Finding the Fourth Proportional to 91.73, 125.89 and 83.50

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Solution

The fourth proportional to 91.73, 125.89 and 83.50 is: 114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.73 : 125.89 = 83.50 : x
  2. Step 2: Convert to fraction form
    91.73/125.89 = 83.50/x
  3. Step 3: Cross multiply
    91.73x = 125.89 × 83.50
  4. Step 4: Simplify right side
    91.73x = 10,511.29
  5. Step 5: Solve for x
    x = 10,511.29/91.73
  6. Step 6: Final answer
    x = 114.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.