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Finding the Fourth Proportional to 188,493.84, 260,121.78 and 103,611.42

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Solution

The fourth proportional to 188,493.84, 260,121.78 and 103,611.42 is: 142,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,493.84 : 260,121.78 = 103,611.42 : x
  2. Step 2: Convert to fraction form
    188,493.84/260,121.78 = 103,611.42/x
  3. Step 3: Cross multiply
    188,493.84x = 260,121.78 × 103,611.42
  4. Step 4: Simplify right side
    188,493.84x = 26,951,586,998.73
  5. Step 5: Solve for x
    x = 26,951,586,998.73/188,493.84
  6. Step 6: Final answer
    x = 142,983.91

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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.