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Finding the Fourth Proportional to 69,783.96, 104,660.10 and 19,863

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Solution

The fourth proportional to 69,783.96, 104,660.10 and 19,863 is: 29,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,783.96 : 104,660.10 = 19,863 : x
  2. Step 2: Convert to fraction form
    69,783.96/104,660.10 = 19,863/x
  3. Step 3: Cross multiply
    69,783.96x = 104,660.10 × 19,863
  4. Step 4: Simplify right side
    69,783.96x = 2,078,863,566.30
  5. Step 5: Solve for x
    x = 2,078,863,566.30/69,783.96
  6. Step 6: Final answer
    x = 29,789.99

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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.