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Finding the Fourth Proportional to 123.21, 170.09 and 84.08

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Solution

The fourth proportional to 123.21, 170.09 and 84.08 is: 116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.21 : 170.09 = 84.08 : x
  2. Step 2: Convert to fraction form
    123.21/170.09 = 84.08/x
  3. Step 3: Cross multiply
    123.21x = 170.09 × 84.08
  4. Step 4: Simplify right side
    123.21x = 14,299.90
  5. Step 5: Solve for x
    x = 14,299.90/123.21
  6. Step 6: Final answer
    x = 116.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.