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Finding the Fourth Proportional to 84,234.87, 126,351.79 and 21,054.67

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Solution

The fourth proportional to 84,234.87, 126,351.79 and 21,054.67 is: 31,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,234.87 : 126,351.79 = 21,054.67 : x
  2. Step 2: Convert to fraction form
    84,234.87/126,351.79 = 21,054.67/x
  3. Step 3: Cross multiply
    84,234.87x = 126,351.79 × 21,054.67
  4. Step 4: Simplify right side
    84,234.87x = 2,660,295,189.72
  5. Step 5: Solve for x
    x = 2,660,295,189.72/84,234.87
  6. Step 6: Final answer
    x = 31,581.88

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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.