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Finding the Fourth Proportional to 123.63, 184.56 and 107.37

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Solution

The fourth proportional to 123.63, 184.56 and 107.37 is: 160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.63 : 184.56 = 107.37 : x
  2. Step 2: Convert to fraction form
    123.63/184.56 = 107.37/x
  3. Step 3: Cross multiply
    123.63x = 184.56 × 107.37
  4. Step 4: Simplify right side
    123.63x = 19,816.21
  5. Step 5: Solve for x
    x = 19,816.21/123.63
  6. Step 6: Final answer
    x = 160.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.