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Finding the Fourth Proportional to 96.09, 143.33 and 86.97

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Solution

The fourth proportional to 96.09, 143.33 and 86.97 is: 129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.09 : 143.33 = 86.97 : x
  2. Step 2: Convert to fraction form
    96.09/143.33 = 86.97/x
  3. Step 3: Cross multiply
    96.09x = 143.33 × 86.97
  4. Step 4: Simplify right side
    96.09x = 12,465.41
  5. Step 5: Solve for x
    x = 12,465.41/96.09
  6. Step 6: Final answer
    x = 129.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.