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Finding the Fourth Proportional to 100,469.25, 138,647.57 and 55,757.25

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Solution

The fourth proportional to 100,469.25, 138,647.57 and 55,757.25 is: 76,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,469.25 : 138,647.57 = 55,757.25 : x
  2. Step 2: Convert to fraction form
    100,469.25/138,647.57 = 55,757.25/x
  3. Step 3: Cross multiply
    100,469.25x = 138,647.57 × 55,757.25
  4. Step 4: Simplify right side
    100,469.25x = 7,730,606,943.60
  5. Step 5: Solve for x
    x = 7,730,606,943.60/100,469.25
  6. Step 6: Final answer
    x = 76,945.01

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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.