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Finding the Fourth Proportional to 123.22, 170.01 and 79.54

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Solution

The fourth proportional to 123.22, 170.01 and 79.54 is: 109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.22 : 170.01 = 79.54 : x
  2. Step 2: Convert to fraction form
    123.22/170.01 = 79.54/x
  3. Step 3: Cross multiply
    123.22x = 170.01 × 79.54
  4. Step 4: Simplify right side
    123.22x = 13,522.60
  5. Step 5: Solve for x
    x = 13,522.60/123.22
  6. Step 6: Final answer
    x = 109.74

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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.