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Finding the Fourth Proportional to 221,682.64, 305,914.44 and 126,193.36

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Solution

The fourth proportional to 221,682.64, 305,914.44 and 126,193.36 is: 174,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,682.64 : 305,914.44 = 126,193.36 : x
  2. Step 2: Convert to fraction form
    221,682.64/305,914.44 = 126,193.36/x
  3. Step 3: Cross multiply
    221,682.64x = 305,914.44 × 126,193.36
  4. Step 4: Simplify right side
    221,682.64x = 38,604,371,056.12
  5. Step 5: Solve for x
    x = 38,604,371,056.12/221,682.64
  6. Step 6: Final answer
    x = 174,142.51

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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.