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Finding the Fourth Proportional to 89.90, 134.19 and 83.82

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Solution

The fourth proportional to 89.90, 134.19 and 83.82 is: 125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.90 : 134.19 = 83.82 : x
  2. Step 2: Convert to fraction form
    89.90/134.19 = 83.82/x
  3. Step 3: Cross multiply
    89.90x = 134.19 × 83.82
  4. Step 4: Simplify right side
    89.90x = 11,247.81
  5. Step 5: Solve for x
    x = 11,247.81/89.90
  6. Step 6: Final answer
    x = 125.12

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Why These Related Problems?

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