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Finding the Fourth Proportional to 188,325.28, 282,487.41 and 68,382

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Solution

The fourth proportional to 188,325.28, 282,487.41 and 68,382 is: 102,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,325.28 : 282,487.41 = 68,382 : x
  2. Step 2: Convert to fraction form
    188,325.28/282,487.41 = 68,382/x
  3. Step 3: Cross multiply
    188,325.28x = 282,487.41 × 68,382
  4. Step 4: Simplify right side
    188,325.28x = 19,317,054,070.62
  5. Step 5: Solve for x
    x = 19,317,054,070.62/188,325.28
  6. Step 6: Final answer
    x = 102,572.81

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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.