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Finding the Fourth Proportional to 218,081.60, 326,733.60 and 186,977.60

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Solution

The fourth proportional to 218,081.60, 326,733.60 and 186,977.60 is: 280,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,081.60 : 326,733.60 = 186,977.60 : x
  2. Step 2: Convert to fraction form
    218,081.60/326,733.60 = 186,977.60/x
  3. Step 3: Cross multiply
    218,081.60x = 326,733.60 × 186,977.60
  4. Step 4: Simplify right side
    218,081.60x = 61,091,864,367.36
  5. Step 5: Solve for x
    x = 61,091,864,367.36/218,081.60
  6. Step 6: Final answer
    x = 280,133.05

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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.