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Finding the Fourth Proportional to 86.20, 128.53 and 85.13

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Solution

The fourth proportional to 86.20, 128.53 and 85.13 is: 126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.20 : 128.53 = 85.13 : x
  2. Step 2: Convert to fraction form
    86.20/128.53 = 85.13/x
  3. Step 3: Cross multiply
    86.20x = 128.53 × 85.13
  4. Step 4: Simplify right side
    86.20x = 10,942.19
  5. Step 5: Solve for x
    x = 10,942.19/86.20
  6. Step 6: Final answer
    x = 126.94

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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.