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Finding the Fourth Proportional to 69,426, 104,143.86 and 27,873

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Solution

The fourth proportional to 69,426, 104,143.86 and 27,873 is: 41,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,426 : 104,143.86 = 27,873 : x
  2. Step 2: Convert to fraction form
    69,426/104,143.86 = 27,873/x
  3. Step 3: Cross multiply
    69,426x = 104,143.86 × 27,873
  4. Step 4: Simplify right side
    69,426x = 2,902,801,809.78
  5. Step 5: Solve for x
    x = 2,902,801,809.78/69,426
  6. Step 6: Final answer
    x = 41,811.45

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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.