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Finding the Fourth Proportional to 205,198.80, 307,279.80 and 134,696.40

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Solution

The fourth proportional to 205,198.80, 307,279.80 and 134,696.40 is: 201,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,198.80 : 307,279.80 = 134,696.40 : x
  2. Step 2: Convert to fraction form
    205,198.80/307,279.80 = 134,696.40/x
  3. Step 3: Cross multiply
    205,198.80x = 307,279.80 × 134,696.40
  4. Step 4: Simplify right side
    205,198.80x = 41,389,482,852.72
  5. Step 5: Solve for x
    x = 41,389,482,852.72/205,198.80
  6. Step 6: Final answer
    x = 201,704.31

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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.