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Finding the Fourth Proportional to 214,288.16, 321,209.16 and 72,027.68

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Solution

The fourth proportional to 214,288.16, 321,209.16 and 72,027.68 is: 107,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,288.16 : 321,209.16 = 72,027.68 : x
  2. Step 2: Convert to fraction form
    214,288.16/321,209.16 = 72,027.68/x
  3. Step 3: Cross multiply
    214,288.16x = 321,209.16 × 72,027.68
  4. Step 4: Simplify right side
    214,288.16x = 23,135,950,589.55
  5. Step 5: Solve for x
    x = 23,135,950,589.55/214,288.16
  6. Step 6: Final answer
    x = 107,966.54

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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.