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Finding the Fourth Proportional to 213,297.57, 319,748.67 and 80,266.05

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Solution

The fourth proportional to 213,297.57, 319,748.67 and 80,266.05 is: 120,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,297.57 : 319,748.67 = 80,266.05 : x
  2. Step 2: Convert to fraction form
    213,297.57/319,748.67 = 80,266.05/x
  3. Step 3: Cross multiply
    213,297.57x = 319,748.67 × 80,266.05
  4. Step 4: Simplify right side
    213,297.57x = 25,664,962,733.65
  5. Step 5: Solve for x
    x = 25,664,962,733.65/213,297.57
  6. Step 6: Final answer
    x = 120,324.68

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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.