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Finding the Fourth Proportional to 188,791.50, 283,187.25 and 77,986.38

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Solution

The fourth proportional to 188,791.50, 283,187.25 and 77,986.38 is: 116,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,791.50 : 283,187.25 = 77,986.38 : x
  2. Step 2: Convert to fraction form
    188,791.50/283,187.25 = 77,986.38/x
  3. Step 3: Cross multiply
    188,791.50x = 283,187.25 × 77,986.38
  4. Step 4: Simplify right side
    188,791.50x = 22,084,748,489.66
  5. Step 5: Solve for x
    x = 22,084,748,489.66/188,791.50
  6. Step 6: Final answer
    x = 116,979.57

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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.