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Finding the Fourth Proportional to 47,229.39, 70,827.39 and 13,940.55

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Solution

The fourth proportional to 47,229.39, 70,827.39 and 13,940.55 is: 20,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,229.39 : 70,827.39 = 13,940.55 : x
  2. Step 2: Convert to fraction form
    47,229.39/70,827.39 = 13,940.55/x
  3. Step 3: Cross multiply
    47,229.39x = 70,827.39 × 13,940.55
  4. Step 4: Simplify right side
    47,229.39x = 987,372,771.66
  5. Step 5: Solve for x
    x = 987,372,771.66/47,229.39
  6. Step 6: Final answer
    x = 20,905.90

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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.