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Finding the Fourth Proportional to 188,573.88, 283,046.70 and 138,513.44

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Solution

The fourth proportional to 188,573.88, 283,046.70 and 138,513.44 is: 207,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,573.88 : 283,046.70 = 138,513.44 : x
  2. Step 2: Convert to fraction form
    188,573.88/283,046.70 = 138,513.44/x
  3. Step 3: Cross multiply
    188,573.88x = 283,046.70 × 138,513.44
  4. Step 4: Simplify right side
    188,573.88x = 39,205,772,097.65
  5. Step 5: Solve for x
    x = 39,205,772,097.65/188,573.88
  6. Step 6: Final answer
    x = 207,906.69

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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.