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Finding the Fourth Proportional to 81,339.80, 122,020.83 and 25,184.52

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Solution

The fourth proportional to 81,339.80, 122,020.83 and 25,184.52 is: 37,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,339.80 : 122,020.83 = 25,184.52 : x
  2. Step 2: Convert to fraction form
    81,339.80/122,020.83 = 25,184.52/x
  3. Step 3: Cross multiply
    81,339.80x = 122,020.83 × 25,184.52
  4. Step 4: Simplify right side
    81,339.80x = 3,073,036,033.55
  5. Step 5: Solve for x
    x = 3,073,036,033.55/81,339.80
  6. Step 6: Final answer
    x = 37,780.23

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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.