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Finding the Fourth Proportional to 223,302, 308,080.48 and 138,388.08

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Solution

The fourth proportional to 223,302, 308,080.48 and 138,388.08 is: 190,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,302 : 308,080.48 = 138,388.08 : x
  2. Step 2: Convert to fraction form
    223,302/308,080.48 = 138,388.08/x
  3. Step 3: Cross multiply
    223,302x = 308,080.48 × 138,388.08
  4. Step 4: Simplify right side
    223,302x = 42,634,666,112.68
  5. Step 5: Solve for x
    x = 42,634,666,112.68/223,302
  6. Step 6: Final answer
    x = 190,928.28

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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.