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Finding the Fourth Proportional to 81,205.85, 121,815.57 and 21,234.21

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Solution

The fourth proportional to 81,205.85, 121,815.57 and 21,234.21 is: 31,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,205.85 : 121,815.57 = 21,234.21 : x
  2. Step 2: Convert to fraction form
    81,205.85/121,815.57 = 21,234.21/x
  3. Step 3: Cross multiply
    81,205.85x = 121,815.57 × 21,234.21
  4. Step 4: Simplify right side
    81,205.85x = 2,586,657,394.65
  5. Step 5: Solve for x
    x = 2,586,657,394.65/81,205.85
  6. Step 6: Final answer
    x = 31,853.09

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1.5x scale

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.