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Finding the Fourth Proportional to 223,805.75, 308,851.94 and 123,203.75

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Solution

The fourth proportional to 223,805.75, 308,851.94 and 123,203.75 is: 170,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,805.75 : 308,851.94 = 123,203.75 : x
  2. Step 2: Convert to fraction form
    223,805.75/308,851.94 = 123,203.75/x
  3. Step 3: Cross multiply
    223,805.75x = 308,851.94 × 123,203.75
  4. Step 4: Simplify right side
    223,805.75x = 38,051,717,202.78
  5. Step 5: Solve for x
    x = 38,051,717,202.78/223,805.75
  6. Step 6: Final answer
    x = 170,021.18

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1.5x scale

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.