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Finding the Fourth Proportional to 223,383, 308,268.54 and 122,781

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Solution

The fourth proportional to 223,383, 308,268.54 and 122,781 is: 169,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,383 : 308,268.54 = 122,781 : x
  2. Step 2: Convert to fraction form
    223,383/308,268.54 = 122,781/x
  3. Step 3: Cross multiply
    223,383x = 308,268.54 × 122,781
  4. Step 4: Simplify right side
    223,383x = 37,849,519,609.74
  5. Step 5: Solve for x
    x = 37,849,519,609.74/223,383
  6. Step 6: Final answer
    x = 169,437.78

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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.