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Finding the Fourth Proportional to 209,138.58, 313,488.56 and 102,375.32

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Solution

The fourth proportional to 209,138.58, 313,488.56 and 102,375.32 is: 153,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,138.58 : 313,488.56 = 102,375.32 : x
  2. Step 2: Convert to fraction form
    209,138.58/313,488.56 = 102,375.32/x
  3. Step 3: Cross multiply
    209,138.58x = 313,488.56 × 102,375.32
  4. Step 4: Simplify right side
    209,138.58x = 32,093,491,646.34
  5. Step 5: Solve for x
    x = 32,093,491,646.34/209,138.58
  6. Step 6: Final answer
    x = 153,455.63

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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.