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Finding the Fourth Proportional to 205,673.67, 283,828.86 and 115,029.27

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Solution

The fourth proportional to 205,673.67, 283,828.86 and 115,029.27 is: 158,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,673.67 : 283,828.86 = 115,029.27 : x
  2. Step 2: Convert to fraction form
    205,673.67/283,828.86 = 115,029.27/x
  3. Step 3: Cross multiply
    205,673.67x = 283,828.86 × 115,029.27
  4. Step 4: Simplify right side
    205,673.67x = 32,648,626,570.73
  5. Step 5: Solve for x
    x = 32,648,626,570.73/205,673.67
  6. Step 6: Final answer
    x = 158,739.94

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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.