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Finding the Fourth Proportional to 189,940.60, 284,910.90 and 106,823.80

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Solution

The fourth proportional to 189,940.60, 284,910.90 and 106,823.80 is: 160,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,940.60 : 284,910.90 = 106,823.80 : x
  2. Step 2: Convert to fraction form
    189,940.60/284,910.90 = 106,823.80/x
  3. Step 3: Cross multiply
    189,940.60x = 284,910.90 × 106,823.80
  4. Step 4: Simplify right side
    189,940.60x = 30,435,264,999.42
  5. Step 5: Solve for x
    x = 30,435,264,999.42/189,940.60
  6. Step 6: Final answer
    x = 160,235.70

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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.