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Finding the Fourth Proportional to 128,791.82, 177,578.25 and 83,453.26

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Solution

The fourth proportional to 128,791.82, 177,578.25 and 83,453.26 is: 115,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,791.82 : 177,578.25 = 83,453.26 : x
  2. Step 2: Convert to fraction form
    128,791.82/177,578.25 = 83,453.26/x
  3. Step 3: Cross multiply
    128,791.82x = 177,578.25 × 83,453.26
  4. Step 4: Simplify right side
    128,791.82x = 14,819,482,979.70
  5. Step 5: Solve for x
    x = 14,819,482,979.70/128,791.82
  6. Step 6: Final answer
    x = 115,065.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.