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Finding the Fourth Proportional to 75,437.80, 113,229.60 and 45,913.30

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Solution

The fourth proportional to 75,437.80, 113,229.60 and 45,913.30 is: 68,914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,437.80 : 113,229.60 = 45,913.30 : x
  2. Step 2: Convert to fraction form
    75,437.80/113,229.60 = 45,913.30/x
  3. Step 3: Cross multiply
    75,437.80x = 113,229.60 × 45,913.30
  4. Step 4: Simplify right side
    75,437.80x = 5,198,744,593.68
  5. Step 5: Solve for x
    x = 5,198,744,593.68/75,437.80
  6. Step 6: Final answer
    x = 68,914.32

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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.