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Finding the Fourth Proportional to 207,698.92, 312,198.67 and 137,075.40

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Solution

The fourth proportional to 207,698.92, 312,198.67 and 137,075.40 is: 206,042.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,698.92 : 312,198.67 = 137,075.40 : x
  2. Step 2: Convert to fraction form
    207,698.92/312,198.67 = 137,075.40/x
  3. Step 3: Cross multiply
    207,698.92x = 312,198.67 × 137,075.40
  4. Step 4: Simplify right side
    207,698.92x = 42,794,757,741.06
  5. Step 5: Solve for x
    x = 42,794,757,741.06/207,698.92
  6. Step 6: Final answer
    x = 206,042.28

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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.