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Finding the Fourth Proportional to 192,903.66, 289,355.52 and 80,522.57

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Solution

The fourth proportional to 192,903.66, 289,355.52 and 80,522.57 is: 120,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,903.66 : 289,355.52 = 80,522.57 : x
  2. Step 2: Convert to fraction form
    192,903.66/289,355.52 = 80,522.57/x
  3. Step 3: Cross multiply
    192,903.66x = 289,355.52 × 80,522.57
  4. Step 4: Simplify right side
    192,903.66x = 23,299,648,667.31
  5. Step 5: Solve for x
    x = 23,299,648,667.31/192,903.66
  6. Step 6: Final answer
    x = 120,783.86

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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.