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Finding the Fourth Proportional to 223,459.46, 308,380.13 and 121,491.78

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Solution

The fourth proportional to 223,459.46, 308,380.13 and 121,491.78 is: 167,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,459.46 : 308,380.13 = 121,491.78 : x
  2. Step 2: Convert to fraction form
    223,459.46/308,380.13 = 121,491.78/x
  3. Step 3: Cross multiply
    223,459.46x = 308,380.13 × 121,491.78
  4. Step 4: Simplify right side
    223,459.46x = 37,465,650,910.33
  5. Step 5: Solve for x
    x = 37,465,650,910.33/223,459.46
  6. Step 6: Final answer
    x = 167,661.96

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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.