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Finding the Fourth Proportional to 205,120, 283,075.32 and 115,696

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Solution

The fourth proportional to 205,120, 283,075.32 and 115,696 is: 159,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,120 : 283,075.32 = 115,696 : x
  2. Step 2: Convert to fraction form
    205,120/283,075.32 = 115,696/x
  3. Step 3: Cross multiply
    205,120x = 283,075.32 × 115,696
  4. Step 4: Simplify right side
    205,120x = 32,750,682,222.72
  5. Step 5: Solve for x
    x = 32,750,682,222.72/205,120
  6. Step 6: Final answer
    x = 159,665.96

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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.