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Finding the Fourth Proportional to 135,109, 186,450.42 and 75,493

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Solution

The fourth proportional to 135,109, 186,450.42 and 75,493 is: 104,180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,109 : 186,450.42 = 75,493 : x
  2. Step 2: Convert to fraction form
    135,109/186,450.42 = 75,493/x
  3. Step 3: Cross multiply
    135,109x = 186,450.42 × 75,493
  4. Step 4: Simplify right side
    135,109x = 14,075,701,557.06
  5. Step 5: Solve for x
    x = 14,075,701,557.06/135,109
  6. Step 6: Final answer
    x = 104,180.34

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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.