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Finding the Fourth Proportional to 47,861.96, 71,793 and 12,801.60

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Solution

The fourth proportional to 47,861.96, 71,793 and 12,801.60 is: 19,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,861.96 : 71,793 = 12,801.60 : x
  2. Step 2: Convert to fraction form
    47,861.96/71,793 = 12,801.60/x
  3. Step 3: Cross multiply
    47,861.96x = 71,793 × 12,801.60
  4. Step 4: Simplify right side
    47,861.96x = 919,065,268.80
  5. Step 5: Solve for x
    x = 919,065,268.80/47,861.96
  6. Step 6: Final answer
    x = 19,202.42

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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.