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Finding the Fourth Proportional to 213,801.99, 320,651.14 and 89,074.95

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Solution

The fourth proportional to 213,801.99, 320,651.14 and 89,074.95 is: 133,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,801.99 : 320,651.14 = 89,074.95 : x
  2. Step 2: Convert to fraction form
    213,801.99/320,651.14 = 89,074.95/x
  3. Step 3: Cross multiply
    213,801.99x = 320,651.14 × 89,074.95
  4. Step 4: Simplify right side
    213,801.99x = 28,561,984,262.94
  5. Step 5: Solve for x
    x = 28,561,984,262.94/213,801.99
  6. Step 6: Final answer
    x = 133,590.83

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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.