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Finding the Fourth Proportional to 231,687.60, 319,633.86 and 140,970.84

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Solution

The fourth proportional to 231,687.60, 319,633.86 and 140,970.84 is: 194,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,687.60 : 319,633.86 = 140,970.84 : x
  2. Step 2: Convert to fraction form
    231,687.60/319,633.86 = 140,970.84/x
  3. Step 3: Cross multiply
    231,687.60x = 319,633.86 × 140,970.84
  4. Step 4: Simplify right side
    231,687.60x = 45,059,053,736.64
  5. Step 5: Solve for x
    x = 45,059,053,736.64/231,687.60
  6. Step 6: Final answer
    x = 194,481.94

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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.