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Finding the Fourth Proportional to 87,333, 120,513.87 and 51,514.80

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Solution

The fourth proportional to 87,333, 120,513.87 and 51,514.80 is: 71,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,333 : 120,513.87 = 51,514.80 : x
  2. Step 2: Convert to fraction form
    87,333/120,513.87 = 51,514.80/x
  3. Step 3: Cross multiply
    87,333x = 120,513.87 × 51,514.80
  4. Step 4: Simplify right side
    87,333x = 6,208,247,910.28
  5. Step 5: Solve for x
    x = 6,208,247,910.28/87,333
  6. Step 6: Final answer
    x = 71,087.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.