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Finding the Fourth Proportional to 205,843.50, 284,064.03 and 111,635.50

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Solution

The fourth proportional to 205,843.50, 284,064.03 and 111,635.50 is: 154,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,843.50 : 284,064.03 = 111,635.50 : x
  2. Step 2: Convert to fraction form
    205,843.50/284,064.03 = 111,635.50/x
  3. Step 3: Cross multiply
    205,843.50x = 284,064.03 × 111,635.50
  4. Step 4: Simplify right side
    205,843.50x = 31,711,630,021.07
  5. Step 5: Solve for x
    x = 31,711,630,021.07/205,843.50
  6. Step 6: Final answer
    x = 154,056.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.