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Finding the Fourth Proportional to 123.17, 185.59 and 110.07

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Solution

The fourth proportional to 123.17, 185.59 and 110.07 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.17 : 185.59 = 110.07 : x
  2. Step 2: Convert to fraction form
    123.17/185.59 = 110.07/x
  3. Step 3: Cross multiply
    123.17x = 185.59 × 110.07
  4. Step 4: Simplify right side
    123.17x = 20,427.89
  5. Step 5: Solve for x
    x = 20,427.89/123.17
  6. Step 6: Final answer
    x = 165.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.