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Finding the Fourth Proportional to 189,387.99, 284,072.74 and 71,050.10

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Solution

The fourth proportional to 189,387.99, 284,072.74 and 71,050.10 is: 106,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,387.99 : 284,072.74 = 71,050.10 : x
  2. Step 2: Convert to fraction form
    189,387.99/284,072.74 = 71,050.10/x
  3. Step 3: Cross multiply
    189,387.99x = 284,072.74 × 71,050.10
  4. Step 4: Simplify right side
    189,387.99x = 20,183,394,986.29
  5. Step 5: Solve for x
    x = 20,183,394,986.29/189,387.99
  6. Step 6: Final answer
    x = 106,571.67

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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.