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Finding the Fourth Proportional to 221,906.80, 333,078.90 and 109,713.70

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Solution

The fourth proportional to 221,906.80, 333,078.90 and 109,713.70 is: 164,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,906.80 : 333,078.90 = 109,713.70 : x
  2. Step 2: Convert to fraction form
    221,906.80/333,078.90 = 109,713.70/x
  3. Step 3: Cross multiply
    221,906.80x = 333,078.90 × 109,713.70
  4. Step 4: Simplify right side
    221,906.80x = 36,543,318,510.93
  5. Step 5: Solve for x
    x = 36,543,318,510.93/221,906.80
  6. Step 6: Final answer
    x = 164,678.68

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1.5x scale

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.