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Finding the Fourth Proportional to 189,969.10, 284,917.20 and 56,853.70

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Solution

The fourth proportional to 189,969.10, 284,917.20 and 56,853.70 is: 85,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,969.10 : 284,917.20 = 56,853.70 : x
  2. Step 2: Convert to fraction form
    189,969.10/284,917.20 = 56,853.70/x
  3. Step 3: Cross multiply
    189,969.10x = 284,917.20 × 56,853.70
  4. Step 4: Simplify right side
    189,969.10x = 16,198,597,013.64
  5. Step 5: Solve for x
    x = 16,198,597,013.64/189,969.10
  6. Step 6: Final answer
    x = 85,269.64

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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.