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Finding the Fourth Proportional to 204,081.60, 306,042.30 and 77,654.70

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Solution

The fourth proportional to 204,081.60, 306,042.30 and 77,654.70 is: 116,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,081.60 : 306,042.30 = 77,654.70 : x
  2. Step 2: Convert to fraction form
    204,081.60/306,042.30 = 77,654.70/x
  3. Step 3: Cross multiply
    204,081.60x = 306,042.30 × 77,654.70
  4. Step 4: Simplify right side
    204,081.60x = 23,765,622,993.81
  5. Step 5: Solve for x
    x = 23,765,622,993.81/204,081.60
  6. Step 6: Final answer
    x = 116,451.57

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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.