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Finding the Fourth Proportional to 223,163.74, 307,966.03 and 121,189.18

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Solution

The fourth proportional to 223,163.74, 307,966.03 and 121,189.18 is: 167,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,163.74 : 307,966.03 = 121,189.18 : x
  2. Step 2: Convert to fraction form
    223,163.74/307,966.03 = 121,189.18/x
  3. Step 3: Cross multiply
    223,163.74x = 307,966.03 × 121,189.18
  4. Step 4: Simplify right side
    223,163.74x = 37,322,148,497.78
  5. Step 5: Solve for x
    x = 37,322,148,497.78/223,163.74
  6. Step 6: Final answer
    x = 167,241.10

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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.