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Finding the Fourth Proportional to 189,872.10, 284,771.70 and 56,756.70

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Solution

The fourth proportional to 189,872.10, 284,771.70 and 56,756.70 is: 85,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,872.10 : 284,771.70 = 56,756.70 : x
  2. Step 2: Convert to fraction form
    189,872.10/284,771.70 = 56,756.70/x
  3. Step 3: Cross multiply
    189,872.10x = 284,771.70 × 56,756.70
  4. Step 4: Simplify right side
    189,872.10x = 16,162,701,945.39
  5. Step 5: Solve for x
    x = 16,162,701,945.39/189,872.10
  6. Step 6: Final answer
    x = 85,124.15

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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.