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Finding the Fourth Proportional to 112,164.22, 154,786 and 61,176

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Solution

The fourth proportional to 112,164.22, 154,786 and 61,176 is: 84,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,164.22 : 154,786 = 61,176 : x
  2. Step 2: Convert to fraction form
    112,164.22/154,786 = 61,176/x
  3. Step 3: Cross multiply
    112,164.22x = 154,786 × 61,176
  4. Step 4: Simplify right side
    112,164.22x = 9,469,188,336
  5. Step 5: Solve for x
    x = 9,469,188,336/112,164.22
  6. Step 6: Final answer
    x = 84,422.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.