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Finding the Fourth Proportional to 192,766.40, 289,232.30 and 74,520.78

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Solution

The fourth proportional to 192,766.40, 289,232.30 and 74,520.78 is: 111,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,766.40 : 289,232.30 = 74,520.78 : x
  2. Step 2: Convert to fraction form
    192,766.40/289,232.30 = 74,520.78/x
  3. Step 3: Cross multiply
    192,766.40x = 289,232.30 × 74,520.78
  4. Step 4: Simplify right side
    192,766.40x = 21,553,816,597.19
  5. Step 5: Solve for x
    x = 21,553,816,597.19/192,766.40
  6. Step 6: Final answer
    x = 111,813.14

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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.