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Finding the Fourth Proportional to 75,983.80, 113,975.70 and 20,579.80

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Solution

The fourth proportional to 75,983.80, 113,975.70 and 20,579.80 is: 30,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,983.80 : 113,975.70 = 20,579.80 : x
  2. Step 2: Convert to fraction form
    75,983.80/113,975.70 = 20,579.80/x
  3. Step 3: Cross multiply
    75,983.80x = 113,975.70 × 20,579.80
  4. Step 4: Simplify right side
    75,983.80x = 2,345,597,110.86
  5. Step 5: Solve for x
    x = 2,345,597,110.86/75,983.80
  6. Step 6: Final answer
    x = 30,869.70

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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.