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Finding the Fourth Proportional to 47,393.92, 71,112.86 and 20,736.40

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Solution

The fourth proportional to 47,393.92, 71,112.86 and 20,736.40 is: 31,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,393.92 : 71,112.86 = 20,736.40 : x
  2. Step 2: Convert to fraction form
    47,393.92/71,112.86 = 20,736.40/x
  3. Step 3: Cross multiply
    47,393.92x = 71,112.86 × 20,736.40
  4. Step 4: Simplify right side
    47,393.92x = 1,474,624,354.54
  5. Step 5: Solve for x
    x = 1,474,624,354.54/47,393.92
  6. Step 6: Final answer
    x = 31,114.21

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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.