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Finding the Fourth Proportional to 86,425, 129,548.70 and 33,104.46

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Solution

The fourth proportional to 86,425, 129,548.70 and 33,104.46 is: 49,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,425 : 129,548.70 = 33,104.46 : x
  2. Step 2: Convert to fraction form
    86,425/129,548.70 = 33,104.46/x
  3. Step 3: Cross multiply
    86,425x = 129,548.70 × 33,104.46
  4. Step 4: Simplify right side
    86,425x = 4,288,639,757.20
  5. Step 5: Solve for x
    x = 4,288,639,757.20/86,425
  6. Step 6: Final answer
    x = 49,622.68

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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.