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Finding the Fourth Proportional to 123.02, 183.64 and 110.78

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Solution

The fourth proportional to 123.02, 183.64 and 110.78 is: 165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.02 : 183.64 = 110.78 : x
  2. Step 2: Convert to fraction form
    123.02/183.64 = 110.78/x
  3. Step 3: Cross multiply
    123.02x = 183.64 × 110.78
  4. Step 4: Simplify right side
    123.02x = 20,343.64
  5. Step 5: Solve for x
    x = 20,343.64/123.02
  6. Step 6: Final answer
    x = 165.37

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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.