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Finding the Fourth Proportional to 111,105, 166,657.50 and 27,999

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Solution

The fourth proportional to 111,105, 166,657.50 and 27,999 is: 41,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,105 : 166,657.50 = 27,999 : x
  2. Step 2: Convert to fraction form
    111,105/166,657.50 = 27,999/x
  3. Step 3: Cross multiply
    111,105x = 166,657.50 × 27,999
  4. Step 4: Simplify right side
    111,105x = 4,666,243,342.50
  5. Step 5: Solve for x
    x = 4,666,243,342.50/111,105
  6. Step 6: Final answer
    x = 41,998.50

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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.