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Finding the Fourth Proportional to 205,855.30, 308,871.26 and 79,584.23

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Solution

The fourth proportional to 205,855.30, 308,871.26 and 79,584.23 is: 119,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,855.30 : 308,871.26 = 79,584.23 : x
  2. Step 2: Convert to fraction form
    205,855.30/308,871.26 = 79,584.23/x
  3. Step 3: Cross multiply
    205,855.30x = 308,871.26 × 79,584.23
  4. Step 4: Simplify right side
    205,855.30x = 24,581,279,851.87
  5. Step 5: Solve for x
    x = 24,581,279,851.87/205,855.30
  6. Step 6: Final answer
    x = 119,410.48

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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.