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Finding the Fourth Proportional to 275,081.94, 412,619.57 and 75,402.16

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Solution

The fourth proportional to 275,081.94, 412,619.57 and 75,402.16 is: 113,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,081.94 : 412,619.57 = 75,402.16 : x
  2. Step 2: Convert to fraction form
    275,081.94/412,619.57 = 75,402.16/x
  3. Step 3: Cross multiply
    275,081.94x = 412,619.57 × 75,402.16
  4. Step 4: Simplify right side
    275,081.94x = 31,112,405,710.47
  5. Step 5: Solve for x
    x = 31,112,405,710.47/275,081.94
  6. Step 6: Final answer
    x = 113,102.32

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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.