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Finding the Fourth Proportional to 214,508.63, 321,847.68 and 81,424.20

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Solution

The fourth proportional to 214,508.63, 321,847.68 and 81,424.20 is: 122,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,508.63 : 321,847.68 = 81,424.20 : x
  2. Step 2: Convert to fraction form
    214,508.63/321,847.68 = 81,424.20/x
  3. Step 3: Cross multiply
    214,508.63x = 321,847.68 × 81,424.20
  4. Step 4: Simplify right side
    214,508.63x = 26,206,189,865.86
  5. Step 5: Solve for x
    x = 26,206,189,865.86/214,508.63
  6. Step 6: Final answer
    x = 122,168.47

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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.