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Finding the Fourth Proportional to 205,623.99, 308,404.08 and 79,323.42

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Solution

The fourth proportional to 205,623.99, 308,404.08 and 79,323.42 is: 118,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,623.99 : 308,404.08 = 79,323.42 : x
  2. Step 2: Convert to fraction form
    205,623.99/308,404.08 = 79,323.42/x
  3. Step 3: Cross multiply
    205,623.99x = 308,404.08 × 79,323.42
  4. Step 4: Simplify right side
    205,623.99x = 24,463,666,367.55
  5. Step 5: Solve for x
    x = 24,463,666,367.55/205,623.99
  6. Step 6: Final answer
    x = 118,972.82

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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.