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Finding the Fourth Proportional to 223,311.75, 308,175.09 and 122,709.75

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Solution

The fourth proportional to 223,311.75, 308,175.09 and 122,709.75 is: 169,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,311.75 : 308,175.09 = 122,709.75 : x
  2. Step 2: Convert to fraction form
    223,311.75/308,175.09 = 122,709.75/x
  3. Step 3: Cross multiply
    223,311.75x = 308,175.09 × 122,709.75
  4. Step 4: Simplify right side
    223,311.75x = 37,816,088,250.13
  5. Step 5: Solve for x
    x = 37,816,088,250.13/223,311.75
  6. Step 6: Final answer
    x = 169,342.13

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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.