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Finding the Fourth Proportional to 203,466.78, 280,786.50 and 112,823.73

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Solution

The fourth proportional to 203,466.78, 280,786.50 and 112,823.73 is: 155,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,466.78 : 280,786.50 = 112,823.73 : x
  2. Step 2: Convert to fraction form
    203,466.78/280,786.50 = 112,823.73/x
  3. Step 3: Cross multiply
    203,466.78x = 280,786.50 × 112,823.73
  4. Step 4: Simplify right side
    203,466.78x = 31,679,380,263.65
  5. Step 5: Solve for x
    x = 31,679,380,263.65/203,466.78
  6. Step 6: Final answer
    x = 155,698.05

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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.