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Finding the Fourth Proportional to 70,471.61, 105,707.34 and 17,163.56

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Solution

The fourth proportional to 70,471.61, 105,707.34 and 17,163.56 is: 25,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.61 : 105,707.34 = 17,163.56 : x
  2. Step 2: Convert to fraction form
    70,471.61/105,707.34 = 17,163.56/x
  3. Step 3: Cross multiply
    70,471.61x = 105,707.34 × 17,163.56
  4. Step 4: Simplify right side
    70,471.61x = 1,814,313,743.99
  5. Step 5: Solve for x
    x = 1,814,313,743.99/70,471.61
  6. Step 6: Final answer
    x = 25,745.32

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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.