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Finding the Fourth Proportional to 275,112.63, 412,659.22 and 75,429.81

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Solution

The fourth proportional to 275,112.63, 412,659.22 and 75,429.81 is: 113,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,112.63 : 412,659.22 = 75,429.81 : x
  2. Step 2: Convert to fraction form
    275,112.63/412,659.22 = 75,429.81/x
  3. Step 3: Cross multiply
    275,112.63x = 412,659.22 × 75,429.81
  4. Step 4: Simplify right side
    275,112.63x = 31,126,806,559.35
  5. Step 5: Solve for x
    x = 31,126,806,559.35/275,112.63
  6. Step 6: Final answer
    x = 113,142.05

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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.