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Finding the Fourth Proportional to 123.82, 170.61 and 103.06

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Solution

The fourth proportional to 123.82, 170.61 and 103.06 is: 142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.82 : 170.61 = 103.06 : x
  2. Step 2: Convert to fraction form
    123.82/170.61 = 103.06/x
  3. Step 3: Cross multiply
    123.82x = 170.61 × 103.06
  4. Step 4: Simplify right side
    123.82x = 17,583.07
  5. Step 5: Solve for x
    x = 17,583.07/123.82
  6. Step 6: Final answer
    x = 142.01

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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.