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Finding the Fourth Proportional to 66,847.80, 100,271.70 and 51,976.20

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Solution

The fourth proportional to 66,847.80, 100,271.70 and 51,976.20 is: 77,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,847.80 : 100,271.70 = 51,976.20 : x
  2. Step 2: Convert to fraction form
    66,847.80/100,271.70 = 51,976.20/x
  3. Step 3: Cross multiply
    66,847.80x = 100,271.70 × 51,976.20
  4. Step 4: Simplify right side
    66,847.80x = 5,211,741,933.54
  5. Step 5: Solve for x
    x = 5,211,741,933.54/66,847.80
  6. Step 6: Final answer
    x = 77,964.30

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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.