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Finding the Fourth Proportional to 100,096.56, 138,121.20 and 57,652.56

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Solution

The fourth proportional to 100,096.56, 138,121.20 and 57,652.56 is: 79,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096.56 : 138,121.20 = 57,652.56 : x
  2. Step 2: Convert to fraction form
    100,096.56/138,121.20 = 57,652.56/x
  3. Step 3: Cross multiply
    100,096.56x = 138,121.20 × 57,652.56
  4. Step 4: Simplify right side
    100,096.56x = 7,963,040,770.27
  5. Step 5: Solve for x
    x = 7,963,040,770.27/100,096.56
  6. Step 6: Final answer
    x = 79,553.59

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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.