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Finding the Fourth Proportional to 75,857.72, 113,209.76 and 67,450.37

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Solution

The fourth proportional to 75,857.72, 113,209.76 and 67,450.37 is: 100,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,857.72 : 113,209.76 = 67,450.37 : x
  2. Step 2: Convert to fraction form
    75,857.72/113,209.76 = 67,450.37/x
  3. Step 3: Cross multiply
    75,857.72x = 113,209.76 × 67,450.37
  4. Step 4: Simplify right side
    75,857.72x = 7,636,040,651.26
  5. Step 5: Solve for x
    x = 7,636,040,651.26/75,857.72
  6. Step 6: Final answer
    x = 100,662.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.