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Finding the Fourth Proportional to 221,558.94, 305,740.71 and 126,056.70

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Solution

The fourth proportional to 221,558.94, 305,740.71 and 126,056.70 is: 173,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,558.94 : 305,740.71 = 126,056.70 : x
  2. Step 2: Convert to fraction form
    221,558.94/305,740.71 = 126,056.70/x
  3. Step 3: Cross multiply
    221,558.94x = 305,740.71 × 126,056.70
  4. Step 4: Simplify right side
    221,558.94x = 38,540,664,958.26
  5. Step 5: Solve for x
    x = 38,540,664,958.26/221,558.94
  6. Step 6: Final answer
    x = 173,952.20

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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.