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Finding the Fourth Proportional to 74,415.20, 111,640.80 and 21,826.40

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Solution

The fourth proportional to 74,415.20, 111,640.80 and 21,826.40 is: 32,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,415.20 : 111,640.80 = 21,826.40 : x
  2. Step 2: Convert to fraction form
    74,415.20/111,640.80 = 21,826.40/x
  3. Step 3: Cross multiply
    74,415.20x = 111,640.80 × 21,826.40
  4. Step 4: Simplify right side
    74,415.20x = 2,436,716,757.12
  5. Step 5: Solve for x
    x = 2,436,716,757.12/74,415.20
  6. Step 6: Final answer
    x = 32,744.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.