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Finding the Fourth Proportional to 47,286.77, 70,947.09 and 20,257.77

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Solution

The fourth proportional to 47,286.77, 70,947.09 and 20,257.77 is: 30,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,286.77 : 70,947.09 = 20,257.77 : x
  2. Step 2: Convert to fraction form
    47,286.77/70,947.09 = 20,257.77/x
  3. Step 3: Cross multiply
    47,286.77x = 70,947.09 × 20,257.77
  4. Step 4: Simplify right side
    47,286.77x = 1,437,229,831.39
  5. Step 5: Solve for x
    x = 1,437,229,831.39/47,286.77
  6. Step 6: Final answer
    x = 30,393.91

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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.