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Finding the Fourth Proportional to 140,940, 194,514.48 and 81,324

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Solution

The fourth proportional to 140,940, 194,514.48 and 81,324 is: 112,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,940 : 194,514.48 = 81,324 : x
  2. Step 2: Convert to fraction form
    140,940/194,514.48 = 81,324/x
  3. Step 3: Cross multiply
    140,940x = 194,514.48 × 81,324
  4. Step 4: Simplify right side
    140,940x = 15,818,695,571.52
  5. Step 5: Solve for x
    x = 15,818,695,571.52/140,940
  6. Step 6: Final answer
    x = 112,237.09

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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.