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Finding the Fourth Proportional to 209,907.82, 314,706.21 and 126,782.38

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Solution

The fourth proportional to 209,907.82, 314,706.21 and 126,782.38 is: 190,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,907.82 : 314,706.21 = 126,782.38 : x
  2. Step 2: Convert to fraction form
    209,907.82/314,706.21 = 126,782.38/x
  3. Step 3: Cross multiply
    209,907.82x = 314,706.21 × 126,782.38
  4. Step 4: Simplify right side
    209,907.82x = 39,899,202,304.58
  5. Step 5: Solve for x
    x = 39,899,202,304.58/209,907.82
  6. Step 6: Final answer
    x = 190,079.64

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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.