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Finding the Fourth Proportional to 275,814.80, 413,664.12 and 126,012.56

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Solution

The fourth proportional to 275,814.80, 413,664.12 and 126,012.56 is: 188,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,814.80 : 413,664.12 = 126,012.56 : x
  2. Step 2: Convert to fraction form
    275,814.80/413,664.12 = 126,012.56/x
  3. Step 3: Cross multiply
    275,814.80x = 413,664.12 × 126,012.56
  4. Step 4: Simplify right side
    275,814.80x = 52,126,874,741.35
  5. Step 5: Solve for x
    x = 52,126,874,741.35/275,814.80
  6. Step 6: Final answer
    x = 188,992.30

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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.