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Finding the Fourth Proportional to 260,936.46, 391,453.86 and 83,395.80

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Solution

The fourth proportional to 260,936.46, 391,453.86 and 83,395.80 is: 125,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,936.46 : 391,453.86 = 83,395.80 : x
  2. Step 2: Convert to fraction form
    260,936.46/391,453.86 = 83,395.80/x
  3. Step 3: Cross multiply
    260,936.46x = 391,453.86 × 83,395.80
  4. Step 4: Simplify right side
    260,936.46x = 32,645,607,817.79
  5. Step 5: Solve for x
    x = 32,645,607,817.79/260,936.46
  6. Step 6: Final answer
    x = 125,109.41

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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.