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Finding the Fourth Proportional to 54,253.80, 74,866.68 and 30,375

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Solution

The fourth proportional to 54,253.80, 74,866.68 and 30,375 is: 41,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,253.80 : 74,866.68 = 30,375 : x
  2. Step 2: Convert to fraction form
    54,253.80/74,866.68 = 30,375/x
  3. Step 3: Cross multiply
    54,253.80x = 74,866.68 × 30,375
  4. Step 4: Simplify right side
    54,253.80x = 2,274,075,405
  5. Step 5: Solve for x
    x = 2,274,075,405/54,253.80
  6. Step 6: Final answer
    x = 41,915.50

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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.