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Finding the Fourth Proportional to 223,698.46, 308,709.02 and 126,908.80

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Solution

The fourth proportional to 223,698.46, 308,709.02 and 126,908.80 is: 175,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,698.46 : 308,709.02 = 126,908.80 : x
  2. Step 2: Convert to fraction form
    223,698.46/308,709.02 = 126,908.80/x
  3. Step 3: Cross multiply
    223,698.46x = 308,709.02 × 126,908.80
  4. Step 4: Simplify right side
    223,698.46x = 39,177,890,642.83
  5. Step 5: Solve for x
    x = 39,177,890,642.83/223,698.46
  6. Step 6: Final answer
    x = 175,137.06

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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.