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Finding the Fourth Proportional to 55,116, 82,674 and 13,563

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Solution

The fourth proportional to 55,116, 82,674 and 13,563 is: 20,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,116 : 82,674 = 13,563 : x
  2. Step 2: Convert to fraction form
    55,116/82,674 = 13,563/x
  3. Step 3: Cross multiply
    55,116x = 82,674 × 13,563
  4. Step 4: Simplify right side
    55,116x = 1,121,307,462
  5. Step 5: Solve for x
    x = 1,121,307,462/55,116
  6. Step 6: Final answer
    x = 20,344.50

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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.