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Finding the Fourth Proportional to 122.93, 183.62 and 90.14

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Solution

The fourth proportional to 122.93, 183.62 and 90.14 is: 134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.93 : 183.62 = 90.14 : x
  2. Step 2: Convert to fraction form
    122.93/183.62 = 90.14/x
  3. Step 3: Cross multiply
    122.93x = 183.62 × 90.14
  4. Step 4: Simplify right side
    122.93x = 16,551.73
  5. Step 5: Solve for x
    x = 16,551.73/122.93
  6. Step 6: Final answer
    x = 134.64

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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.