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Finding the Fourth Proportional to 223,219, 308,042.22 and 122,617

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Solution

The fourth proportional to 223,219, 308,042.22 and 122,617 is: 169,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,219 : 308,042.22 = 122,617 : x
  2. Step 2: Convert to fraction form
    223,219/308,042.22 = 122,617/x
  3. Step 3: Cross multiply
    223,219x = 308,042.22 × 122,617
  4. Step 4: Simplify right side
    223,219x = 37,771,212,889.74
  5. Step 5: Solve for x
    x = 37,771,212,889.74/223,219
  6. Step 6: Final answer
    x = 169,211.46

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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.