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Finding the Fourth Proportional to 188,986.86, 283,490.64 and 76,650.39

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Solution

The fourth proportional to 188,986.86, 283,490.64 and 76,650.39 is: 114,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,986.86 : 283,490.64 = 76,650.39 : x
  2. Step 2: Convert to fraction form
    188,986.86/283,490.64 = 76,650.39/x
  3. Step 3: Cross multiply
    188,986.86x = 283,490.64 × 76,650.39
  4. Step 4: Simplify right side
    188,986.86x = 21,729,668,117.35
  5. Step 5: Solve for x
    x = 21,729,668,117.35/188,986.86
  6. Step 6: Final answer
    x = 114,979.78

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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.