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Finding the Fourth Proportional to 189,843.80, 284,765.70 and 49,616.60

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Solution

The fourth proportional to 189,843.80, 284,765.70 and 49,616.60 is: 74,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,843.80 : 284,765.70 = 49,616.60 : x
  2. Step 2: Convert to fraction form
    189,843.80/284,765.70 = 49,616.60/x
  3. Step 3: Cross multiply
    189,843.80x = 284,765.70 × 49,616.60
  4. Step 4: Simplify right side
    189,843.80x = 14,129,105,830.62
  5. Step 5: Solve for x
    x = 14,129,105,830.62/189,843.80
  6. Step 6: Final answer
    x = 74,424.90

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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.