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Finding the Fourth Proportional to 221,732.84, 305,956.14 and 126,241.40

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Solution

The fourth proportional to 221,732.84, 305,956.14 and 126,241.40 is: 174,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,732.84 : 305,956.14 = 126,241.40 : x
  2. Step 2: Convert to fraction form
    221,732.84/305,956.14 = 126,241.40/x
  3. Step 3: Cross multiply
    221,732.84x = 305,956.14 × 126,241.40
  4. Step 4: Simplify right side
    221,732.84x = 38,624,331,743.68
  5. Step 5: Solve for x
    x = 38,624,331,743.68/221,732.84
  6. Step 6: Final answer
    x = 174,193.10

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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.