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Finding the Fourth Proportional to 274,637.63, 412,015.25 and 85,093.79

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Solution

The fourth proportional to 274,637.63, 412,015.25 and 85,093.79 is: 127,658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,637.63 : 412,015.25 = 85,093.79 : x
  2. Step 2: Convert to fraction form
    274,637.63/412,015.25 = 85,093.79/x
  3. Step 3: Cross multiply
    274,637.63x = 412,015.25 × 85,093.79
  4. Step 4: Simplify right side
    274,637.63x = 35,059,940,403.07
  5. Step 5: Solve for x
    x = 35,059,940,403.07/274,637.63
  6. Step 6: Final answer
    x = 127,658.91

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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.