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Finding the Fourth Proportional to 275,902.86, 413,850.17 and 76,218.83

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Solution

The fourth proportional to 275,902.86, 413,850.17 and 76,218.83 is: 114,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,902.86 : 413,850.17 = 76,218.83 : x
  2. Step 2: Convert to fraction form
    275,902.86/413,850.17 = 76,218.83/x
  3. Step 3: Cross multiply
    275,902.86x = 413,850.17 × 76,218.83
  4. Step 4: Simplify right side
    275,902.86x = 31,543,173,302.36
  5. Step 5: Solve for x
    x = 31,543,173,302.36/275,902.86
  6. Step 6: Final answer
    x = 114,327.10

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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.