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Finding the Fourth Proportional to 227,320, 313,701.62 and 126,718

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Solution

The fourth proportional to 227,320, 313,701.62 and 126,718 is: 174,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,320 : 313,701.62 = 126,718 : x
  2. Step 2: Convert to fraction form
    227,320/313,701.62 = 126,718/x
  3. Step 3: Cross multiply
    227,320x = 313,701.62 × 126,718
  4. Step 4: Simplify right side
    227,320x = 39,751,641,883.16
  5. Step 5: Solve for x
    x = 39,751,641,883.16/227,320
  6. Step 6: Final answer
    x = 174,870.85

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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.