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Finding the Fourth Proportional to 83,479, 125,218.50 and 28,075

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Solution

The fourth proportional to 83,479, 125,218.50 and 28,075 is: 42,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,479 : 125,218.50 = 28,075 : x
  2. Step 2: Convert to fraction form
    83,479/125,218.50 = 28,075/x
  3. Step 3: Cross multiply
    83,479x = 125,218.50 × 28,075
  4. Step 4: Simplify right side
    83,479x = 3,515,509,387.50
  5. Step 5: Solve for x
    x = 3,515,509,387.50/83,479
  6. Step 6: Final answer
    x = 42,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.