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Finding the Fourth Proportional to 54,450, 75,137.40 and 30,250.80

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Solution

The fourth proportional to 54,450, 75,137.40 and 30,250.80 is: 41,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,450 : 75,137.40 = 30,250.80 : x
  2. Step 2: Convert to fraction form
    54,450/75,137.40 = 30,250.80/x
  3. Step 3: Cross multiply
    54,450x = 75,137.40 × 30,250.80
  4. Step 4: Simplify right side
    54,450x = 2,272,966,459.92
  5. Step 5: Solve for x
    x = 2,272,966,459.92/54,450
  6. Step 6: Final answer
    x = 41,744.10

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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.