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Finding the Fourth Proportional to 66,947.50, 100,425.30 and 20,200.78

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Solution

The fourth proportional to 66,947.50, 100,425.30 and 20,200.78 is: 30,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,947.50 : 100,425.30 = 20,200.78 : x
  2. Step 2: Convert to fraction form
    66,947.50/100,425.30 = 20,200.78/x
  3. Step 3: Cross multiply
    66,947.50x = 100,425.30 × 20,200.78
  4. Step 4: Simplify right side
    66,947.50x = 2,028,669,391.73
  5. Step 5: Solve for x
    x = 2,028,669,391.73/66,947.50
  6. Step 6: Final answer
    x = 30,302.39

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1.5x scale

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.