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Finding the Fourth Proportional to 188,453.69, 282,569.84 and 76,137.47

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Solution

The fourth proportional to 188,453.69, 282,569.84 and 76,137.47 is: 114,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,453.69 : 282,569.84 = 76,137.47 : x
  2. Step 2: Convert to fraction form
    188,453.69/282,569.84 = 76,137.47/x
  3. Step 3: Cross multiply
    188,453.69x = 282,569.84 × 76,137.47
  4. Step 4: Simplify right side
    188,453.69x = 21,514,152,335.22
  5. Step 5: Solve for x
    x = 21,514,152,335.22/188,453.69
  6. Step 6: Final answer
    x = 114,161.48

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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.