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Finding the Fourth Proportional to 45,029.56, 67,542.72 and 13,864

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Solution

The fourth proportional to 45,029.56, 67,542.72 and 13,864 is: 20,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,029.56 : 67,542.72 = 13,864 : x
  2. Step 2: Convert to fraction form
    45,029.56/67,542.72 = 13,864/x
  3. Step 3: Cross multiply
    45,029.56x = 67,542.72 × 13,864
  4. Step 4: Simplify right side
    45,029.56x = 936,412,270.08
  5. Step 5: Solve for x
    x = 936,412,270.08/45,029.56
  6. Step 6: Final answer
    x = 20,795.50

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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.