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Finding the Fourth Proportional to 211,572, 317,370.96 and 63,828

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Solution

The fourth proportional to 211,572, 317,370.96 and 63,828 is: 95,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,572 : 317,370.96 = 63,828 : x
  2. Step 2: Convert to fraction form
    211,572/317,370.96 = 63,828/x
  3. Step 3: Cross multiply
    211,572x = 317,370.96 × 63,828
  4. Step 4: Simplify right side
    211,572x = 20,257,153,634.88
  5. Step 5: Solve for x
    x = 20,257,153,634.88/211,572
  6. Step 6: Final answer
    x = 95,745.91

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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.