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Finding the Fourth Proportional to 192,910.82, 289,016.31 and 142,434.86

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Solution

The fourth proportional to 192,910.82, 289,016.31 and 142,434.86 is: 213,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,910.82 : 289,016.31 = 142,434.86 : x
  2. Step 2: Convert to fraction form
    192,910.82/289,016.31 = 142,434.86/x
  3. Step 3: Cross multiply
    192,910.82x = 289,016.31 × 142,434.86
  4. Step 4: Simplify right side
    192,910.82x = 41,165,997,652.57
  5. Step 5: Solve for x
    x = 41,165,997,652.57/192,910.82
  6. Step 6: Final answer
    x = 213,393.93

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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.