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Finding the Fourth Proportional to 45,061.92, 67,601.88 and 13,896

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Solution

The fourth proportional to 45,061.92, 67,601.88 and 13,896 is: 20,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,061.92 : 67,601.88 = 13,896 : x
  2. Step 2: Convert to fraction form
    45,061.92/67,601.88 = 13,896/x
  3. Step 3: Cross multiply
    45,061.92x = 67,601.88 × 13,896
  4. Step 4: Simplify right side
    45,061.92x = 939,395,724.48
  5. Step 5: Solve for x
    x = 939,395,724.48/45,061.92
  6. Step 6: Final answer
    x = 20,846.78

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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.