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Finding the Fourth Proportional to 75,418.80, 113,124.56 and 28,033.80

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Solution

The fourth proportional to 75,418.80, 113,124.56 and 28,033.80 is: 42,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,418.80 : 113,124.56 = 28,033.80 : x
  2. Step 2: Convert to fraction form
    75,418.80/113,124.56 = 28,033.80/x
  3. Step 3: Cross multiply
    75,418.80x = 113,124.56 × 28,033.80
  4. Step 4: Simplify right side
    75,418.80x = 3,171,311,149.96
  5. Step 5: Solve for x
    x = 3,171,311,149.96/75,418.80
  6. Step 6: Final answer
    x = 42,049.35

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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.