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Finding the Fourth Proportional to 70,178.80, 105,343.14 and 30,217.56

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Solution

The fourth proportional to 70,178.80, 105,343.14 and 30,217.56 is: 45,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,178.80 : 105,343.14 = 30,217.56 : x
  2. Step 2: Convert to fraction form
    70,178.80/105,343.14 = 30,217.56/x
  3. Step 3: Cross multiply
    70,178.80x = 105,343.14 × 30,217.56
  4. Step 4: Simplify right side
    70,178.80x = 3,183,212,653.54
  5. Step 5: Solve for x
    x = 3,183,212,653.54/70,178.80
  6. Step 6: Final answer
    x = 45,358.61

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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.