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Finding the Fourth Proportional to 211,900.56, 317,894.58 and 71,670.12

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Solution

The fourth proportional to 211,900.56, 317,894.58 and 71,670.12 is: 107,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,900.56 : 317,894.58 = 71,670.12 : x
  2. Step 2: Convert to fraction form
    211,900.56/317,894.58 = 71,670.12/x
  3. Step 3: Cross multiply
    211,900.56x = 317,894.58 × 71,670.12
  4. Step 4: Simplify right side
    211,900.56x = 22,783,542,695.95
  5. Step 5: Solve for x
    x = 22,783,542,695.95/211,900.56
  6. Step 6: Final answer
    x = 107,519.97

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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.