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Finding the Fourth Proportional to 274,695.06, 412,106.49 and 85,145.37

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Solution

The fourth proportional to 274,695.06, 412,106.49 and 85,145.37 is: 127,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,695.06 : 412,106.49 = 85,145.37 : x
  2. Step 2: Convert to fraction form
    274,695.06/412,106.49 = 85,145.37/x
  3. Step 3: Cross multiply
    274,695.06x = 412,106.49 × 85,145.37
  4. Step 4: Simplify right side
    274,695.06x = 35,088,959,570.45
  5. Step 5: Solve for x
    x = 35,088,959,570.45/274,695.06
  6. Step 6: Final answer
    x = 127,737.86

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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.