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Finding the Fourth Proportional to 47,286.77, 70,947.11 and 20,257.78

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Solution

The fourth proportional to 47,286.77, 70,947.11 and 20,257.78 is: 30,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,286.77 : 70,947.11 = 20,257.78 : x
  2. Step 2: Convert to fraction form
    47,286.77/70,947.11 = 20,257.78/x
  3. Step 3: Cross multiply
    47,286.77x = 70,947.11 × 20,257.78
  4. Step 4: Simplify right side
    47,286.77x = 1,437,230,667.36
  5. Step 5: Solve for x
    x = 1,437,230,667.36/47,286.77
  6. Step 6: Final answer
    x = 30,393.93

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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.