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Finding the Fourth Proportional to 188,853.92, 260,662.74 and 108,280

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Solution

The fourth proportional to 188,853.92, 260,662.74 and 108,280 is: 149,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,853.92 : 260,662.74 = 108,280 : x
  2. Step 2: Convert to fraction form
    188,853.92/260,662.74 = 108,280/x
  3. Step 3: Cross multiply
    188,853.92x = 260,662.74 × 108,280
  4. Step 4: Simplify right side
    188,853.92x = 28,224,561,487.20
  5. Step 5: Solve for x
    x = 28,224,561,487.20/188,853.92
  6. Step 6: Final answer
    x = 149,451.82

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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.