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Finding the Fourth Proportional to 55,179, 82,768.74 and 13,626

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Solution

The fourth proportional to 55,179, 82,768.74 and 13,626 is: 20,439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,179 : 82,768.74 = 13,626 : x
  2. Step 2: Convert to fraction form
    55,179/82,768.74 = 13,626/x
  3. Step 3: Cross multiply
    55,179x = 82,768.74 × 13,626
  4. Step 4: Simplify right side
    55,179x = 1,127,806,851.24
  5. Step 5: Solve for x
    x = 1,127,806,851.24/55,179
  6. Step 6: Final answer
    x = 20,439.06

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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.