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Finding the Fourth Proportional to 134.78, 201.23 and 122.03

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Solution

The fourth proportional to 134.78, 201.23 and 122.03 is: 182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.78 : 201.23 = 122.03 : x
  2. Step 2: Convert to fraction form
    134.78/201.23 = 122.03/x
  3. Step 3: Cross multiply
    134.78x = 201.23 × 122.03
  4. Step 4: Simplify right side
    134.78x = 24,554.71
  5. Step 5: Solve for x
    x = 24,554.71/134.78
  6. Step 6: Final answer
    x = 182.18

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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.