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Finding the Fourth Proportional to 226,682, 312,821.16 and 126,077.84

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Solution

The fourth proportional to 226,682, 312,821.16 and 126,077.84 is: 173,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,682 : 312,821.16 = 126,077.84 : x
  2. Step 2: Convert to fraction form
    226,682/312,821.16 = 126,077.84/x
  3. Step 3: Cross multiply
    226,682x = 312,821.16 × 126,077.84
  4. Step 4: Simplify right side
    226,682x = 39,439,816,159.09
  5. Step 5: Solve for x
    x = 39,439,816,159.09/226,682
  6. Step 6: Final answer
    x = 173,987.42

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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.