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Finding the Fourth Proportional to 55,216, 82,824 and 13,663

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Solution

The fourth proportional to 55,216, 82,824 and 13,663 is: 20,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,216 : 82,824 = 13,663 : x
  2. Step 2: Convert to fraction form
    55,216/82,824 = 13,663/x
  3. Step 3: Cross multiply
    55,216x = 82,824 × 13,663
  4. Step 4: Simplify right side
    55,216x = 1,131,624,312
  5. Step 5: Solve for x
    x = 1,131,624,312/55,216
  6. Step 6: Final answer
    x = 20,494.50

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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.