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Finding the Fourth Proportional to 123.33, 185.07 and 84.78

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Solution

The fourth proportional to 123.33, 185.07 and 84.78 is: 127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.33 : 185.07 = 84.78 : x
  2. Step 2: Convert to fraction form
    123.33/185.07 = 84.78/x
  3. Step 3: Cross multiply
    123.33x = 185.07 × 84.78
  4. Step 4: Simplify right side
    123.33x = 15,690.23
  5. Step 5: Solve for x
    x = 15,690.23/123.33
  6. Step 6: Final answer
    x = 127.22

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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.