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Finding the Fourth Proportional to 69,820.92, 104,747.78 and 19,901.73

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Solution

The fourth proportional to 69,820.92, 104,747.78 and 19,901.73 is: 29,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,820.92 : 104,747.78 = 19,901.73 : x
  2. Step 2: Convert to fraction form
    69,820.92/104,747.78 = 19,901.73/x
  3. Step 3: Cross multiply
    69,820.92x = 104,747.78 × 19,901.73
  4. Step 4: Simplify right side
    69,820.92x = 2,084,662,478.22
  5. Step 5: Solve for x
    x = 2,084,662,478.22/69,820.92
  6. Step 6: Final answer
    x = 29,857.28

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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.