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Finding the Fourth Proportional to 75,649.20, 113,473.80 and 20,245.20

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Solution

The fourth proportional to 75,649.20, 113,473.80 and 20,245.20 is: 30,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.20 : 113,473.80 = 20,245.20 : x
  2. Step 2: Convert to fraction form
    75,649.20/113,473.80 = 20,245.20/x
  3. Step 3: Cross multiply
    75,649.20x = 113,473.80 × 20,245.20
  4. Step 4: Simplify right side
    75,649.20x = 2,297,299,775.76
  5. Step 5: Solve for x
    x = 2,297,299,775.76/75,649.20
  6. Step 6: Final answer
    x = 30,367.80

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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.