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Finding the Fourth Proportional to 201,234.20, 301,505.70 and 106,323.80

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Solution

The fourth proportional to 201,234.20, 301,505.70 and 106,323.80 is: 159,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,234.20 : 301,505.70 = 106,323.80 : x
  2. Step 2: Convert to fraction form
    201,234.20/301,505.70 = 106,323.80/x
  3. Step 3: Cross multiply
    201,234.20x = 301,505.70 × 106,323.80
  4. Step 4: Simplify right side
    201,234.20x = 32,057,231,745.66
  5. Step 5: Solve for x
    x = 32,057,231,745.66/201,234.20
  6. Step 6: Final answer
    x = 159,303.10

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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.