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Finding the Fourth Proportional to 223,884, 308,959.92 and 123,282

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Solution

The fourth proportional to 223,884, 308,959.92 and 123,282 is: 170,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,884 : 308,959.92 = 123,282 : x
  2. Step 2: Convert to fraction form
    223,884/308,959.92 = 123,282/x
  3. Step 3: Cross multiply
    223,884x = 308,959.92 × 123,282
  4. Step 4: Simplify right side
    223,884x = 38,089,196,857.44
  5. Step 5: Solve for x
    x = 38,089,196,857.44/223,884
  6. Step 6: Final answer
    x = 170,129.16

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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.