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Finding the Fourth Proportional to 188,326.78, 282,489.66 and 68,383.50

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Solution

The fourth proportional to 188,326.78, 282,489.66 and 68,383.50 is: 102,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,326.78 : 282,489.66 = 68,383.50 : x
  2. Step 2: Convert to fraction form
    188,326.78/282,489.66 = 68,383.50/x
  3. Step 3: Cross multiply
    188,326.78x = 282,489.66 × 68,383.50
  4. Step 4: Simplify right side
    188,326.78x = 19,317,631,664.61
  5. Step 5: Solve for x
    x = 19,317,631,664.61/188,326.78
  6. Step 6: Final answer
    x = 102,575.06

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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.