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Finding the Fourth Proportional to 223,201.98, 308,021.00 and 121,228.43

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Solution

The fourth proportional to 223,201.98, 308,021.00 and 121,228.43 is: 167,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,201.98 : 308,021.00 = 121,228.43 : x
  2. Step 2: Convert to fraction form
    223,201.98/308,021.00 = 121,228.43/x
  3. Step 3: Cross multiply
    223,201.98x = 308,021.00 × 121,228.43
  4. Step 4: Simplify right side
    223,201.98x = 37,340,900,090.78
  5. Step 5: Solve for x
    x = 37,340,900,090.78/223,201.98
  6. Step 6: Final answer
    x = 167,296.46

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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.