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Finding the Fourth Proportional to 205,119, 283,073.94 and 115,695

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Solution

The fourth proportional to 205,119, 283,073.94 and 115,695 is: 159,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,119 : 283,073.94 = 115,695 : x
  2. Step 2: Convert to fraction form
    205,119/283,073.94 = 115,695/x
  3. Step 3: Cross multiply
    205,119x = 283,073.94 × 115,695
  4. Step 4: Simplify right side
    205,119x = 32,750,239,488.30
  5. Step 5: Solve for x
    x = 32,750,239,488.30/205,119
  6. Step 6: Final answer
    x = 159,664.58

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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.