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Finding the Fourth Proportional to 213,404.88, 320,121.92 and 63,633.66

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Solution

The fourth proportional to 213,404.88, 320,121.92 and 63,633.66 is: 95,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,404.88 : 320,121.92 = 63,633.66 : x
  2. Step 2: Convert to fraction form
    213,404.88/320,121.92 = 63,633.66/x
  3. Step 3: Cross multiply
    213,404.88x = 320,121.92 × 63,633.66
  4. Step 4: Simplify right side
    213,404.88x = 20,370,529,415.83
  5. Step 5: Solve for x
    x = 20,370,529,415.83/213,404.88
  6. Step 6: Final answer
    x = 95,454.84

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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.