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Finding the Fourth Proportional to 55,120, 82,680 and 13,567

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Solution

The fourth proportional to 55,120, 82,680 and 13,567 is: 20,350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,120 : 82,680 = 13,567 : x
  2. Step 2: Convert to fraction form
    55,120/82,680 = 13,567/x
  3. Step 3: Cross multiply
    55,120x = 82,680 × 13,567
  4. Step 4: Simplify right side
    55,120x = 1,121,719,560
  5. Step 5: Solve for x
    x = 1,121,719,560/55,120
  6. Step 6: Final answer
    x = 20,350.50

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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.