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Finding the Fourth Proportional to 70,198.66, 105,204.84 and 30,712.78

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Solution

The fourth proportional to 70,198.66, 105,204.84 and 30,712.78 is: 46,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,198.66 : 105,204.84 = 30,712.78 : x
  2. Step 2: Convert to fraction form
    70,198.66/105,204.84 = 30,712.78/x
  3. Step 3: Cross multiply
    70,198.66x = 105,204.84 × 30,712.78
  4. Step 4: Simplify right side
    70,198.66x = 3,231,133,105.86
  5. Step 5: Solve for x
    x = 3,231,133,105.86/70,198.66
  6. Step 6: Final answer
    x = 46,028.42

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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.