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Finding the Fourth Proportional to 233,105.94, 321,687.45 and 137,659.73

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Solution

The fourth proportional to 233,105.94, 321,687.45 and 137,659.73 is: 189,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,105.94 : 321,687.45 = 137,659.73 : x
  2. Step 2: Convert to fraction form
    233,105.94/321,687.45 = 137,659.73/x
  3. Step 3: Cross multiply
    233,105.94x = 321,687.45 × 137,659.73
  4. Step 4: Simplify right side
    233,105.94x = 44,283,405,902.95
  5. Step 5: Solve for x
    x = 44,283,405,902.95/233,105.94
  6. Step 6: Final answer
    x = 189,971.16

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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.