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Finding the Fourth Proportional to 275,902.05, 413,860.82 and 76,222.47

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Solution

The fourth proportional to 275,902.05, 413,860.82 and 76,222.47 is: 114,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,902.05 : 413,860.82 = 76,222.47 : x
  2. Step 2: Convert to fraction form
    275,902.05/413,860.82 = 76,222.47/x
  3. Step 3: Cross multiply
    275,902.05x = 413,860.82 × 76,222.47
  4. Step 4: Simplify right side
    275,902.05x = 31,545,493,555.51
  5. Step 5: Solve for x
    x = 31,545,493,555.51/275,902.05
  6. Step 6: Final answer
    x = 114,335.84

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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.