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Finding the Fourth Proportional to 223,906.31, 308,987.63 and 127,109.31

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Solution

The fourth proportional to 223,906.31, 308,987.63 and 127,109.31 is: 175,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,906.31 : 308,987.63 = 127,109.31 : x
  2. Step 2: Convert to fraction form
    223,906.31/308,987.63 = 127,109.31/x
  3. Step 3: Cross multiply
    223,906.31x = 308,987.63 × 127,109.31
  4. Step 4: Simplify right side
    223,906.31x = 39,275,204,447.84
  5. Step 5: Solve for x
    x = 39,275,204,447.84/223,906.31
  6. Step 6: Final answer
    x = 175,409.10

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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.