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Finding the Fourth Proportional to 188,917.92, 260,698.32 and 108,287.64

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Solution

The fourth proportional to 188,917.92, 260,698.32 and 108,287.64 is: 149,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,917.92 : 260,698.32 = 108,287.64 : x
  2. Step 2: Convert to fraction form
    188,917.92/260,698.32 = 108,287.64/x
  3. Step 3: Cross multiply
    188,917.92x = 260,698.32 × 108,287.64
  4. Step 4: Simplify right side
    188,917.92x = 28,230,405,824.76
  5. Step 5: Solve for x
    x = 28,230,405,824.76/188,917.92
  6. Step 6: Final answer
    x = 149,432.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.