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Finding the Fourth Proportional to 226,910, 313,135.80 and 126,314.48

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Solution

The fourth proportional to 226,910, 313,135.80 and 126,314.48 is: 174,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,910 : 313,135.80 = 126,314.48 : x
  2. Step 2: Convert to fraction form
    226,910/313,135.80 = 126,314.48/x
  3. Step 3: Cross multiply
    226,910x = 313,135.80 × 126,314.48
  4. Step 4: Simplify right side
    226,910x = 39,553,585,746.38
  5. Step 5: Solve for x
    x = 39,553,585,746.38/226,910
  6. Step 6: Final answer
    x = 174,313.98

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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.