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Finding the Fourth Proportional to 223,173.39, 307,978.29 and 121,198.05

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Solution

The fourth proportional to 223,173.39, 307,978.29 and 121,198.05 is: 167,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,173.39 : 307,978.29 = 121,198.05 : x
  2. Step 2: Convert to fraction form
    223,173.39/307,978.29 = 121,198.05/x
  3. Step 3: Cross multiply
    223,173.39x = 307,978.29 × 121,198.05
  4. Step 4: Simplify right side
    223,173.39x = 37,326,368,190.33
  5. Step 5: Solve for x
    x = 37,326,368,190.33/223,173.39
  6. Step 6: Final answer
    x = 167,252.77

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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.