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Finding the Fourth Proportional to 208,026.10, 311,249.40 and 138,042.10

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Solution

The fourth proportional to 208,026.10, 311,249.40 and 138,042.10 is: 206,539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,026.10 : 311,249.40 = 138,042.10 : x
  2. Step 2: Convert to fraction form
    208,026.10/311,249.40 = 138,042.10/x
  3. Step 3: Cross multiply
    208,026.10x = 311,249.40 × 138,042.10
  4. Step 4: Simplify right side
    208,026.10x = 42,965,520,799.74
  5. Step 5: Solve for x
    x = 42,965,520,799.74/208,026.10
  6. Step 6: Final answer
    x = 206,539.09

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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.