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Finding the Fourth Proportional to 188,441.92, 260,049 and 107,869

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Solution

The fourth proportional to 188,441.92, 260,049 and 107,869 is: 148,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,441.92 : 260,049 = 107,869 : x
  2. Step 2: Convert to fraction form
    188,441.92/260,049 = 107,869/x
  3. Step 3: Cross multiply
    188,441.92x = 260,049 × 107,869
  4. Step 4: Simplify right side
    188,441.92x = 28,051,225,581
  5. Step 5: Solve for x
    x = 28,051,225,581/188,441.92
  6. Step 6: Final answer
    x = 148,858.73

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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.