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Finding the Fourth Proportional to 223,202.25, 308,039.76 and 122,619.69

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Solution

The fourth proportional to 223,202.25, 308,039.76 and 122,619.69 is: 169,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,202.25 : 308,039.76 = 122,619.69 : x
  2. Step 2: Convert to fraction form
    223,202.25/308,039.76 = 122,619.69/x
  3. Step 3: Cross multiply
    223,202.25x = 308,039.76 × 122,619.69
  4. Step 4: Simplify right side
    223,202.25x = 37,771,739,878.87
  5. Step 5: Solve for x
    x = 37,771,739,878.87/223,202.25
  6. Step 6: Final answer
    x = 169,226.52

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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.