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Finding the Fourth Proportional to 47,793.94, 71,691 and 19,729.96

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Solution

The fourth proportional to 47,793.94, 71,691 and 19,729.96 is: 29,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,793.94 : 71,691 = 19,729.96 : x
  2. Step 2: Convert to fraction form
    47,793.94/71,691 = 19,729.96/x
  3. Step 3: Cross multiply
    47,793.94x = 71,691 × 19,729.96
  4. Step 4: Simplify right side
    47,793.94x = 1,414,460,562.36
  5. Step 5: Solve for x
    x = 1,414,460,562.36/47,793.94
  6. Step 6: Final answer
    x = 29,594.98

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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.