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Finding the Fourth Proportional to 215,157.98, 322,514.62 and 82,002.48

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Solution

The fourth proportional to 215,157.98, 322,514.62 and 82,002.48 is: 122,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,157.98 : 322,514.62 = 82,002.48 : x
  2. Step 2: Convert to fraction form
    215,157.98/322,514.62 = 82,002.48/x
  3. Step 3: Cross multiply
    215,157.98x = 322,514.62 × 82,002.48
  4. Step 4: Simplify right side
    215,157.98x = 26,446,998,676.26
  5. Step 5: Solve for x
    x = 26,446,998,676.26/215,157.98
  6. Step 6: Final answer
    x = 122,918.98

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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.