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Finding the Fourth Proportional to 213,221.90, 319,832.86 and 63,464.36

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Solution

The fourth proportional to 213,221.90, 319,832.86 and 63,464.36 is: 95,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,221.90 : 319,832.86 = 63,464.36 : x
  2. Step 2: Convert to fraction form
    213,221.90/319,832.86 = 63,464.36/x
  3. Step 3: Cross multiply
    213,221.90x = 319,832.86 × 63,464.36
  4. Step 4: Simplify right side
    213,221.90x = 20,297,987,766.87
  5. Step 5: Solve for x
    x = 20,297,987,766.87/213,221.90
  6. Step 6: Final answer
    x = 95,196.54

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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.