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Finding the Fourth Proportional to 123.36, 184.16 and 107.16

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Solution

The fourth proportional to 123.36, 184.16 and 107.16 is: 159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.36 : 184.16 = 107.16 : x
  2. Step 2: Convert to fraction form
    123.36/184.16 = 107.16/x
  3. Step 3: Cross multiply
    123.36x = 184.16 × 107.16
  4. Step 4: Simplify right side
    123.36x = 19,734.05
  5. Step 5: Solve for x
    x = 19,734.05/123.36
  6. Step 6: Final answer
    x = 159.97

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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.