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Finding the Fourth Proportional to 226,684, 312,823.92 and 126,079.84

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Solution

The fourth proportional to 226,684, 312,823.92 and 126,079.84 is: 173,990.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,684 : 312,823.92 = 126,079.84 : x
  2. Step 2: Convert to fraction form
    226,684/312,823.92 = 126,079.84/x
  3. Step 3: Cross multiply
    226,684x = 312,823.92 × 126,079.84
  4. Step 4: Simplify right side
    226,684x = 39,440,789,781.77
  5. Step 5: Solve for x
    x = 39,440,789,781.77/226,684
  6. Step 6: Final answer
    x = 173,990.18

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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.