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Finding the Fourth Proportional to 100,112.53, 138,189.86 and 57,687.97

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Solution

The fourth proportional to 100,112.53, 138,189.86 and 57,687.97 is: 79,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,112.53 : 138,189.86 = 57,687.97 : x
  2. Step 2: Convert to fraction form
    100,112.53/138,189.86 = 57,687.97/x
  3. Step 3: Cross multiply
    100,112.53x = 138,189.86 × 57,687.97
  4. Step 4: Simplify right side
    100,112.53x = 7,971,892,497.98
  5. Step 5: Solve for x
    x = 7,971,892,497.98/100,112.53
  6. Step 6: Final answer
    x = 79,629.32

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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.