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Finding the Fourth Proportional to 123.40, 185.07 and 42.23

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Solution

The fourth proportional to 123.40, 185.07 and 42.23 is: 63.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 185.07 = 42.23 : x
  2. Step 2: Convert to fraction form
    123.40/185.07 = 42.23/x
  3. Step 3: Cross multiply
    123.40x = 185.07 × 42.23
  4. Step 4: Simplify right side
    123.40x = 7,814.58
  5. Step 5: Solve for x
    x = 7,814.58/123.40
  6. Step 6: Final answer
    x = 63.33

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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.