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Finding the Fourth Proportional to 70,187.68, 105,183.12 and 30,662.56

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Solution

The fourth proportional to 70,187.68, 105,183.12 and 30,662.56 is: 45,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,187.68 : 105,183.12 = 30,662.56 : x
  2. Step 2: Convert to fraction form
    70,187.68/105,183.12 = 30,662.56/x
  3. Step 3: Cross multiply
    70,187.68x = 105,183.12 × 30,662.56
  4. Step 4: Simplify right side
    70,187.68x = 3,225,183,727.99
  5. Step 5: Solve for x
    x = 3,225,183,727.99/70,187.68
  6. Step 6: Final answer
    x = 45,950.85

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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.