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Finding the Fourth Proportional to 203,200.65, 280,449 and 122,639.67

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Solution

The fourth proportional to 203,200.65, 280,449 and 122,639.67 is: 169,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.65 : 280,449 = 122,639.67 : x
  2. Step 2: Convert to fraction form
    203,200.65/280,449 = 122,639.67/x
  3. Step 3: Cross multiply
    203,200.65x = 280,449 × 122,639.67
  4. Step 4: Simplify right side
    203,200.65x = 34,394,172,811.83
  5. Step 5: Solve for x
    x = 34,394,172,811.83/203,200.65
  6. Step 6: Final answer
    x = 169,262.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.