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Finding the Fourth Proportional to 55,230, 82,845 and 13,677

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Solution

The fourth proportional to 55,230, 82,845 and 13,677 is: 20,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,230 : 82,845 = 13,677 : x
  2. Step 2: Convert to fraction form
    55,230/82,845 = 13,677/x
  3. Step 3: Cross multiply
    55,230x = 82,845 × 13,677
  4. Step 4: Simplify right side
    55,230x = 1,133,071,065
  5. Step 5: Solve for x
    x = 1,133,071,065/55,230
  6. Step 6: Final answer
    x = 20,515.50

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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.