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Finding the Fourth Proportional to 75,857.85, 113,209.96 and 67,450.51

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Solution

The fourth proportional to 75,857.85, 113,209.96 and 67,450.51 is: 100,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,857.85 : 113,209.96 = 67,450.51 : x
  2. Step 2: Convert to fraction form
    75,857.85/113,209.96 = 67,450.51/x
  3. Step 3: Cross multiply
    75,857.85x = 113,209.96 × 67,450.51
  4. Step 4: Simplify right side
    75,857.85x = 7,636,069,539.08
  5. Step 5: Solve for x
    x = 7,636,069,539.08/75,857.85
  6. Step 6: Final answer
    x = 100,662.88

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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.