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Finding the Fourth Proportional to 123.83, 186.51 and 112.76

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Solution

The fourth proportional to 123.83, 186.51 and 112.76 is: 169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.83 : 186.51 = 112.76 : x
  2. Step 2: Convert to fraction form
    123.83/186.51 = 112.76/x
  3. Step 3: Cross multiply
    123.83x = 186.51 × 112.76
  4. Step 4: Simplify right side
    123.83x = 21,029.94
  5. Step 5: Solve for x
    x = 21,029.94/123.83
  6. Step 6: Final answer
    x = 169.84

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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.