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Finding the Fourth Proportional to 211,718.56, 317,336.23 and 85,277.83

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Solution

The fourth proportional to 211,718.56, 317,336.23 and 85,277.83 is: 127,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,718.56 : 317,336.23 = 85,277.83 : x
  2. Step 2: Convert to fraction form
    211,718.56/317,336.23 = 85,277.83/x
  3. Step 3: Cross multiply
    211,718.56x = 317,336.23 × 85,277.83
  4. Step 4: Simplify right side
    211,718.56x = 27,061,745,074.78
  5. Step 5: Solve for x
    x = 27,061,745,074.78/211,718.56
  6. Step 6: Final answer
    x = 127,819.43

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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.