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Finding the Fourth Proportional to 275,128.74, 412,785.43 and 106,654.56

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Solution

The fourth proportional to 275,128.74, 412,785.43 and 106,654.56 is: 160,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,128.74 : 412,785.43 = 106,654.56 : x
  2. Step 2: Convert to fraction form
    275,128.74/412,785.43 = 106,654.56/x
  3. Step 3: Cross multiply
    275,128.74x = 412,785.43 × 106,654.56
  4. Step 4: Simplify right side
    275,128.74x = 44,025,448,411.06
  5. Step 5: Solve for x
    x = 44,025,448,411.06/275,128.74
  6. Step 6: Final answer
    x = 160,017.63

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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.