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Finding the Fourth Proportional to 211,775.91, 317,702.84 and 69,629.20

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Solution

The fourth proportional to 211,775.91, 317,702.84 and 69,629.20 is: 104,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,775.91 : 317,702.84 = 69,629.20 : x
  2. Step 2: Convert to fraction form
    211,775.91/317,702.84 = 69,629.20/x
  3. Step 3: Cross multiply
    211,775.91x = 317,702.84 × 69,629.20
  4. Step 4: Simplify right side
    211,775.91x = 22,121,394,586.93
  5. Step 5: Solve for x
    x = 22,121,394,586.93/211,775.91
  6. Step 6: Final answer
    x = 104,456.61

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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.