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Finding the Fourth Proportional to 75,638.70, 113,458.05 and 20,234.70

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Solution

The fourth proportional to 75,638.70, 113,458.05 and 20,234.70 is: 30,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,638.70 : 113,458.05 = 20,234.70 : x
  2. Step 2: Convert to fraction form
    75,638.70/113,458.05 = 20,234.70/x
  3. Step 3: Cross multiply
    75,638.70x = 113,458.05 × 20,234.70
  4. Step 4: Simplify right side
    75,638.70x = 2,295,789,604.34
  5. Step 5: Solve for x
    x = 2,295,789,604.34/75,638.70
  6. Step 6: Final answer
    x = 30,352.05

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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.