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Finding the Fourth Proportional to 123.16, 183.64 and 121.64

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Solution

The fourth proportional to 123.16, 183.64 and 121.64 is: 181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.16 : 183.64 = 121.64 : x
  2. Step 2: Convert to fraction form
    123.16/183.64 = 121.64/x
  3. Step 3: Cross multiply
    123.16x = 183.64 × 121.64
  4. Step 4: Simplify right side
    123.16x = 22,337.97
  5. Step 5: Solve for x
    x = 22,337.97/123.16
  6. Step 6: Final answer
    x = 181.37

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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.