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Finding the Fourth Proportional to 122.87, 183.98 and 103.56

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Solution

The fourth proportional to 122.87, 183.98 and 103.56 is: 155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.87 : 183.98 = 103.56 : x
  2. Step 2: Convert to fraction form
    122.87/183.98 = 103.56/x
  3. Step 3: Cross multiply
    122.87x = 183.98 × 103.56
  4. Step 4: Simplify right side
    122.87x = 19,052.45
  5. Step 5: Solve for x
    x = 19,052.45/122.87
  6. Step 6: Final answer
    x = 155.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.