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Finding the Fourth Proportional to 107,205.70, 160,981.35 and 80,940.10

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Solution

The fourth proportional to 107,205.70, 160,981.35 and 80,940.10 is: 121,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,205.70 : 160,981.35 = 80,940.10 : x
  2. Step 2: Convert to fraction form
    107,205.70/160,981.35 = 80,940.10/x
  3. Step 3: Cross multiply
    107,205.70x = 160,981.35 × 80,940.10
  4. Step 4: Simplify right side
    107,205.70x = 13,029,846,567.14
  5. Step 5: Solve for x
    x = 13,029,846,567.14/107,205.70
  6. Step 6: Final answer
    x = 121,540.61

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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.