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Finding the Fourth Proportional to 67,209.78, 100,744.34 and 25,072.91

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Solution

The fourth proportional to 67,209.78, 100,744.34 and 25,072.91 is: 37,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,209.78 : 100,744.34 = 25,072.91 : x
  2. Step 2: Convert to fraction form
    67,209.78/100,744.34 = 25,072.91/x
  3. Step 3: Cross multiply
    67,209.78x = 100,744.34 × 25,072.91
  4. Step 4: Simplify right side
    67,209.78x = 2,525,953,140.74
  5. Step 5: Solve for x
    x = 2,525,953,140.74/67,209.78
  6. Step 6: Final answer
    x = 37,583.12

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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.