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Finding the Fourth Proportional to 198,405.81, 297,514.92 and 76,883.28

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Solution

The fourth proportional to 198,405.81, 297,514.92 and 76,883.28 is: 115,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,405.81 : 297,514.92 = 76,883.28 : x
  2. Step 2: Convert to fraction form
    198,405.81/297,514.92 = 76,883.28/x
  3. Step 3: Cross multiply
    198,405.81x = 297,514.92 × 76,883.28
  4. Step 4: Simplify right side
    198,405.81x = 22,873,922,898.54
  5. Step 5: Solve for x
    x = 22,873,922,898.54/198,405.81
  6. Step 6: Final answer
    x = 115,288.57

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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.