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Finding the Fourth Proportional to 188,197, 282,295.92 and 132,287.31

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Solution

The fourth proportional to 188,197, 282,295.92 and 132,287.31 is: 198,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,197 : 282,295.92 = 132,287.31 : x
  2. Step 2: Convert to fraction form
    188,197/282,295.92 = 132,287.31/x
  3. Step 3: Cross multiply
    188,197x = 282,295.92 × 132,287.31
  4. Step 4: Simplify right side
    188,197x = 37,344,167,880.78
  5. Step 5: Solve for x
    x = 37,344,167,880.78/188,197
  6. Step 6: Final answer
    x = 198,431.26

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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.