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Finding the Fourth Proportional to 231,268.96, 319,249.56 and 140,654

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Solution

The fourth proportional to 231,268.96, 319,249.56 and 140,654 is: 194,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,268.96 : 319,249.56 = 140,654 : x
  2. Step 2: Convert to fraction form
    231,268.96/319,249.56 = 140,654/x
  3. Step 3: Cross multiply
    231,268.96x = 319,249.56 × 140,654
  4. Step 4: Simplify right side
    231,268.96x = 44,903,727,612.24
  5. Step 5: Solve for x
    x = 44,903,727,612.24/231,268.96
  6. Step 6: Final answer
    x = 194,162.36

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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.