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Finding the Fourth Proportional to 123.33, 184.89 and 75.27

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Solution

The fourth proportional to 123.33, 184.89 and 75.27 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.33 : 184.89 = 75.27 : x
  2. Step 2: Convert to fraction form
    123.33/184.89 = 75.27/x
  3. Step 3: Cross multiply
    123.33x = 184.89 × 75.27
  4. Step 4: Simplify right side
    123.33x = 13,916.67
  5. Step 5: Solve for x
    x = 13,916.67/123.33
  6. Step 6: Final answer
    x = 112.84

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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.