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Finding the Fourth Proportional to 211,670.62, 317,440.32 and 71,396.44

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Solution

The fourth proportional to 211,670.62, 317,440.32 and 71,396.44 is: 107,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,670.62 : 317,440.32 = 71,396.44 : x
  2. Step 2: Convert to fraction form
    211,670.62/317,440.32 = 71,396.44/x
  3. Step 3: Cross multiply
    211,670.62x = 317,440.32 × 71,396.44
  4. Step 4: Simplify right side
    211,670.62x = 22,664,107,699.12
  5. Step 5: Solve for x
    x = 22,664,107,699.12/211,670.62
  6. Step 6: Final answer
    x = 107,072.53

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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.