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Finding the Fourth Proportional to 208,698.26, 312,911.30 and 137,405.10

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Solution

The fourth proportional to 208,698.26, 312,911.30 and 137,405.10 is: 206,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,698.26 : 312,911.30 = 137,405.10 : x
  2. Step 2: Convert to fraction form
    208,698.26/312,911.30 = 137,405.10/x
  3. Step 3: Cross multiply
    208,698.26x = 312,911.30 × 137,405.10
  4. Step 4: Simplify right side
    208,698.26x = 42,995,608,467.63
  5. Step 5: Solve for x
    x = 42,995,608,467.63/208,698.26
  6. Step 6: Final answer
    x = 206,018.05

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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.