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Finding the Fourth Proportional to 67,842.50, 101,682 and 25,113.78

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Solution

The fourth proportional to 67,842.50, 101,682 and 25,113.78 is: 37,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.50 : 101,682 = 25,113.78 : x
  2. Step 2: Convert to fraction form
    67,842.50/101,682 = 25,113.78/x
  3. Step 3: Cross multiply
    67,842.50x = 101,682 × 25,113.78
  4. Step 4: Simplify right side
    67,842.50x = 2,553,619,377.96
  5. Step 5: Solve for x
    x = 2,553,619,377.96/67,842.50
  6. Step 6: Final answer
    x = 37,640.41

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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.