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Finding the Fourth Proportional to 100,075, 138,104.04 and 54,753.52

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Solution

The fourth proportional to 100,075, 138,104.04 and 54,753.52 is: 75,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,075 : 138,104.04 = 54,753.52 : x
  2. Step 2: Convert to fraction form
    100,075/138,104.04 = 54,753.52/x
  3. Step 3: Cross multiply
    100,075x = 138,104.04 × 54,753.52
  4. Step 4: Simplify right side
    100,075x = 7,561,682,316.22
  5. Step 5: Solve for x
    x = 7,561,682,316.22/100,075
  6. Step 6: Final answer
    x = 75,560.15

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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.