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Finding the Fourth Proportional to 186,722.70, 280,081.80 and 131,723.70

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Solution

The fourth proportional to 186,722.70, 280,081.80 and 131,723.70 is: 197,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,722.70 : 280,081.80 = 131,723.70 : x
  2. Step 2: Convert to fraction form
    186,722.70/280,081.80 = 131,723.70/x
  3. Step 3: Cross multiply
    186,722.70x = 280,081.80 × 131,723.70
  4. Step 4: Simplify right side
    186,722.70x = 36,893,410,998.66
  5. Step 5: Solve for x
    x = 36,893,410,998.66/186,722.70
  6. Step 6: Final answer
    x = 197,583.96

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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.