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Finding the Fourth Proportional to 115,912.44, 159,948.38 and 65,611.44

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Solution

The fourth proportional to 115,912.44, 159,948.38 and 65,611.44 is: 90,537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,912.44 : 159,948.38 = 65,611.44 : x
  2. Step 2: Convert to fraction form
    115,912.44/159,948.38 = 65,611.44/x
  3. Step 3: Cross multiply
    115,912.44x = 159,948.38 × 65,611.44
  4. Step 4: Simplify right side
    115,912.44x = 10,494,443,537.47
  5. Step 5: Solve for x
    x = 10,494,443,537.47/115,912.44
  6. Step 6: Final answer
    x = 90,537.68

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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.