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Finding the Fourth Proportional to 123.90, 186.06 and 110.22

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Solution

The fourth proportional to 123.90, 186.06 and 110.22 is: 165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.90 : 186.06 = 110.22 : x
  2. Step 2: Convert to fraction form
    123.90/186.06 = 110.22/x
  3. Step 3: Cross multiply
    123.90x = 186.06 × 110.22
  4. Step 4: Simplify right side
    123.90x = 20,507.53
  5. Step 5: Solve for x
    x = 20,507.53/123.90
  6. Step 6: Final answer
    x = 165.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.