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Finding the Fourth Proportional to 221,698.56, 305,968.41 and 126,189.84

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Solution

The fourth proportional to 221,698.56, 305,968.41 and 126,189.84 is: 174,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,698.56 : 305,968.41 = 126,189.84 : x
  2. Step 2: Convert to fraction form
    221,698.56/305,968.41 = 126,189.84/x
  3. Step 3: Cross multiply
    221,698.56x = 305,968.41 × 126,189.84
  4. Step 4: Simplify right side
    221,698.56x = 38,610,104,702.95
  5. Step 5: Solve for x
    x = 38,610,104,702.95/221,698.56
  6. Step 6: Final answer
    x = 174,155.87

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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.