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Finding the Fourth Proportional to 275,172.13, 412,759.41 and 75,494.80

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Solution

The fourth proportional to 275,172.13, 412,759.41 and 75,494.80 is: 113,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,172.13 : 412,759.41 = 75,494.80 : x
  2. Step 2: Convert to fraction form
    275,172.13/412,759.41 = 75,494.80/x
  3. Step 3: Cross multiply
    275,172.13x = 412,759.41 × 75,494.80
  4. Step 4: Simplify right side
    275,172.13x = 31,161,189,106.07
  5. Step 5: Solve for x
    x = 31,161,189,106.07/275,172.13
  6. Step 6: Final answer
    x = 113,242.53

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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.