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Finding the Fourth Proportional to 221,797.94, 306,084.12 and 126,305.04

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Solution

The fourth proportional to 221,797.94, 306,084.12 and 126,305.04 is: 174,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,797.94 : 306,084.12 = 126,305.04 : x
  2. Step 2: Convert to fraction form
    221,797.94/306,084.12 = 126,305.04/x
  3. Step 3: Cross multiply
    221,797.94x = 306,084.12 × 126,305.04
  4. Step 4: Simplify right side
    221,797.94x = 38,659,967,019.96
  5. Step 5: Solve for x
    x = 38,659,967,019.96/221,797.94
  6. Step 6: Final answer
    x = 174,302.64

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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.