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Finding the Fourth Proportional to 122.98, 183.51 and 112.07

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Solution

The fourth proportional to 122.98, 183.51 and 112.07 is: 167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.98 : 183.51 = 112.07 : x
  2. Step 2: Convert to fraction form
    122.98/183.51 = 112.07/x
  3. Step 3: Cross multiply
    122.98x = 183.51 × 112.07
  4. Step 4: Simplify right side
    122.98x = 20,565.64
  5. Step 5: Solve for x
    x = 20,565.64/122.98
  6. Step 6: Final answer
    x = 167.22

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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.