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Finding the Fourth Proportional to 123.99, 186.74 and 105.81

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Solution

The fourth proportional to 123.99, 186.74 and 105.81 is: 159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.99 : 186.74 = 105.81 : x
  2. Step 2: Convert to fraction form
    123.99/186.74 = 105.81/x
  3. Step 3: Cross multiply
    123.99x = 186.74 × 105.81
  4. Step 4: Simplify right side
    123.99x = 19,758.43
  5. Step 5: Solve for x
    x = 19,758.43/123.99
  6. Step 6: Final answer
    x = 159.36

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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.