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Finding the Fourth Proportional to 70,661.40, 105,959.70 and 31,198.20

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Solution

The fourth proportional to 70,661.40, 105,959.70 and 31,198.20 is: 46,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,661.40 : 105,959.70 = 31,198.20 : x
  2. Step 2: Convert to fraction form
    70,661.40/105,959.70 = 31,198.20/x
  3. Step 3: Cross multiply
    70,661.40x = 105,959.70 × 31,198.20
  4. Step 4: Simplify right side
    70,661.40x = 3,305,751,912.54
  5. Step 5: Solve for x
    x = 3,305,751,912.54/70,661.40
  6. Step 6: Final answer
    x = 46,782.99

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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.