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Finding the Fourth Proportional to 286,013.57, 428,921.93 and 108,571.32

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Solution

The fourth proportional to 286,013.57, 428,921.93 and 108,571.32 is: 162,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,013.57 : 428,921.93 = 108,571.32 : x
  2. Step 2: Convert to fraction form
    286,013.57/428,921.93 = 108,571.32/x
  3. Step 3: Cross multiply
    286,013.57x = 428,921.93 × 108,571.32
  4. Step 4: Simplify right side
    286,013.57x = 46,568,620,388.48
  5. Step 5: Solve for x
    x = 46,568,620,388.48/286,013.57
  6. Step 6: Final answer
    x = 162,819.62

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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.