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Finding the Fourth Proportional to 75,907.76, 113,861.62 and 20,503.76

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Solution

The fourth proportional to 75,907.76, 113,861.62 and 20,503.76 is: 30,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,907.76 : 113,861.62 = 20,503.76 : x
  2. Step 2: Convert to fraction form
    75,907.76/113,861.62 = 20,503.76/x
  3. Step 3: Cross multiply
    75,907.76x = 113,861.62 × 20,503.76
  4. Step 4: Simplify right side
    75,907.76x = 2,334,591,329.69
  5. Step 5: Solve for x
    x = 2,334,591,329.69/75,907.76
  6. Step 6: Final answer
    x = 30,755.63

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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.