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Finding the Fourth Proportional to 213,183.45, 319,606.49 and 80,048.88

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Solution

The fourth proportional to 213,183.45, 319,606.49 and 80,048.88 is: 120,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,183.45 : 319,606.49 = 80,048.88 : x
  2. Step 2: Convert to fraction form
    213,183.45/319,606.49 = 80,048.88/x
  3. Step 3: Cross multiply
    213,183.45x = 319,606.49 × 80,048.88
  4. Step 4: Simplify right side
    213,183.45x = 25,584,141,565.23
  5. Step 5: Solve for x
    x = 25,584,141,565.23/213,183.45
  6. Step 6: Final answer
    x = 120,009.98

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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.