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Finding the Fourth Proportional to 221,206.64, 331,811.18 and 54,994.64

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Solution

The fourth proportional to 221,206.64, 331,811.18 and 54,994.64 is: 82,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,206.64 : 331,811.18 = 54,994.64 : x
  2. Step 2: Convert to fraction form
    221,206.64/331,811.18 = 54,994.64/x
  3. Step 3: Cross multiply
    221,206.64x = 331,811.18 × 54,994.64
  4. Step 4: Simplify right side
    221,206.64x = 18,247,836,392.08
  5. Step 5: Solve for x
    x = 18,247,836,392.08/221,206.64
  6. Step 6: Final answer
    x = 82,492.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.