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Finding the Fourth Proportional to 47,847, 71,768.92 and 25,703.64

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Solution

The fourth proportional to 47,847, 71,768.92 and 25,703.64 is: 38,554.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,847 : 71,768.92 = 25,703.64 : x
  2. Step 2: Convert to fraction form
    47,847/71,768.92 = 25,703.64/x
  3. Step 3: Cross multiply
    47,847x = 71,768.92 × 25,703.64
  4. Step 4: Simplify right side
    47,847x = 1,844,722,482.87
  5. Step 5: Solve for x
    x = 1,844,722,482.87/47,847
  6. Step 6: Final answer
    x = 38,554.61

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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.