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Finding the Fourth Proportional to 54,620.92, 75,375.12 and 30,744.35

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Solution

The fourth proportional to 54,620.92, 75,375.12 and 30,744.35 is: 42,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,620.92 : 75,375.12 = 30,744.35 : x
  2. Step 2: Convert to fraction form
    54,620.92/75,375.12 = 30,744.35/x
  3. Step 3: Cross multiply
    54,620.92x = 75,375.12 × 30,744.35
  4. Step 4: Simplify right side
    54,620.92x = 2,317,359,070.57
  5. Step 5: Solve for x
    x = 2,317,359,070.57/54,620.92
  6. Step 6: Final answer
    x = 42,426.22

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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.