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Finding the Fourth Proportional to 123.05, 183.47 and 118.59

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Solution

The fourth proportional to 123.05, 183.47 and 118.59 is: 176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.05 : 183.47 = 118.59 : x
  2. Step 2: Convert to fraction form
    123.05/183.47 = 118.59/x
  3. Step 3: Cross multiply
    123.05x = 183.47 × 118.59
  4. Step 4: Simplify right side
    123.05x = 21,757.11
  5. Step 5: Solve for x
    x = 21,757.11/123.05
  6. Step 6: Final answer
    x = 176.82

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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.