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Finding the Fourth Proportional to 122.86, 185.47 and 122.14

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Solution

The fourth proportional to 122.86, 185.47 and 122.14 is: 184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.86 : 185.47 = 122.14 : x
  2. Step 2: Convert to fraction form
    122.86/185.47 = 122.14/x
  3. Step 3: Cross multiply
    122.86x = 185.47 × 122.14
  4. Step 4: Simplify right side
    122.86x = 22,653.31
  5. Step 5: Solve for x
    x = 22,653.31/122.86
  6. Step 6: Final answer
    x = 184.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.