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Finding the Fourth Proportional to 231,682.72, 319,627.14 and 140,965.96

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Solution

The fourth proportional to 231,682.72, 319,627.14 and 140,965.96 is: 194,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,682.72 : 319,627.14 = 140,965.96 : x
  2. Step 2: Convert to fraction form
    231,682.72/319,627.14 = 140,965.96/x
  3. Step 3: Cross multiply
    231,682.72x = 319,627.14 × 140,965.96
  4. Step 4: Simplify right side
    231,682.72x = 45,056,546,632.15
  5. Step 5: Solve for x
    x = 45,056,546,632.15/231,682.72
  6. Step 6: Final answer
    x = 194,475.21

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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.