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Finding the Fourth Proportional to 161.96, 243.05 and 89.87

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Solution

The fourth proportional to 161.96, 243.05 and 89.87 is: 134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 243.05 = 89.87 : x
  2. Step 2: Convert to fraction form
    161.96/243.05 = 89.87/x
  3. Step 3: Cross multiply
    161.96x = 243.05 × 89.87
  4. Step 4: Simplify right side
    161.96x = 21,842.90
  5. Step 5: Solve for x
    x = 21,842.90/161.96
  6. Step 6: Final answer
    x = 134.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.