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Finding the Fourth Proportional to 275,814.09, 413,712.87 and 76,146.66

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Solution

The fourth proportional to 275,814.09, 413,712.87 and 76,146.66 is: 114,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,814.09 : 413,712.87 = 76,146.66 : x
  2. Step 2: Convert to fraction form
    275,814.09/413,712.87 = 76,146.66/x
  3. Step 3: Cross multiply
    275,814.09x = 413,712.87 × 76,146.66
  4. Step 4: Simplify right side
    275,814.09x = 31,502,853,249.51
  5. Step 5: Solve for x
    x = 31,502,853,249.51/275,814.09
  6. Step 6: Final answer
    x = 114,217.71

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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.