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Finding the Fourth Proportional to 205,122, 283,078.08 and 115,698

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Solution

The fourth proportional to 205,122, 283,078.08 and 115,698 is: 159,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,122 : 283,078.08 = 115,698 : x
  2. Step 2: Convert to fraction form
    205,122/283,078.08 = 115,698/x
  3. Step 3: Cross multiply
    205,122x = 283,078.08 × 115,698
  4. Step 4: Simplify right side
    205,122x = 32,751,567,699.84
  5. Step 5: Solve for x
    x = 32,751,567,699.84/205,122
  6. Step 6: Final answer
    x = 159,668.72

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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.