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Finding the Fourth Proportional to 75,617.75, 113,426.64 and 20,213.75

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Solution

The fourth proportional to 75,617.75, 113,426.64 and 20,213.75 is: 30,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,617.75 : 113,426.64 = 20,213.75 : x
  2. Step 2: Convert to fraction form
    75,617.75/113,426.64 = 20,213.75/x
  3. Step 3: Cross multiply
    75,617.75x = 113,426.64 × 20,213.75
  4. Step 4: Simplify right side
    75,617.75x = 2,292,777,744.30
  5. Step 5: Solve for x
    x = 2,292,777,744.30/75,617.75
  6. Step 6: Final answer
    x = 30,320.63

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1.5x scale

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.