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Finding the Fourth Proportional to 194,649.41, 268,987.48 and 140,379.68

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Solution

The fourth proportional to 194,649.41, 268,987.48 and 140,379.68 is: 193,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,649.41 : 268,987.48 = 140,379.68 : x
  2. Step 2: Convert to fraction form
    194,649.41/268,987.48 = 140,379.68/x
  3. Step 3: Cross multiply
    194,649.41x = 268,987.48 × 140,379.68
  4. Step 4: Simplify right side
    194,649.41x = 37,760,376,687.93
  5. Step 5: Solve for x
    x = 37,760,376,687.93/194,649.41
  6. Step 6: Final answer
    x = 193,991.73

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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.