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Finding the Fourth Proportional to 223,219.41, 308,061.83 and 126,440.54

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Solution

The fourth proportional to 223,219.41, 308,061.83 and 126,440.54 is: 174,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,219.41 : 308,061.83 = 126,440.54 : x
  2. Step 2: Convert to fraction form
    223,219.41/308,061.83 = 126,440.54/x
  3. Step 3: Cross multiply
    223,219.41x = 308,061.83 × 126,440.54
  4. Step 4: Simplify right side
    223,219.41x = 38,951,502,914.38
  5. Step 5: Solve for x
    x = 38,951,502,914.38/223,219.41
  6. Step 6: Final answer
    x = 174,498.73

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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.