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Finding the Fourth Proportional to 123.06, 169.82 and 70.60

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Solution

The fourth proportional to 123.06, 169.82 and 70.60 is: 97.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.06 : 169.82 = 70.60 : x
  2. Step 2: Convert to fraction form
    123.06/169.82 = 70.60/x
  3. Step 3: Cross multiply
    123.06x = 169.82 × 70.60
  4. Step 4: Simplify right side
    123.06x = 11,989.29
  5. Step 5: Solve for x
    x = 11,989.29/123.06
  6. Step 6: Final answer
    x = 97.43

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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.