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Finding the Fourth Proportional to 55,309.80, 82,964.66 and 13,756.80

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Solution

The fourth proportional to 55,309.80, 82,964.66 and 13,756.80 is: 20,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,309.80 : 82,964.66 = 13,756.80 : x
  2. Step 2: Convert to fraction form
    55,309.80/82,964.66 = 13,756.80/x
  3. Step 3: Cross multiply
    55,309.80x = 82,964.66 × 13,756.80
  4. Step 4: Simplify right side
    55,309.80x = 1,141,328,234.69
  5. Step 5: Solve for x
    x = 1,141,328,234.69/55,309.80
  6. Step 6: Final answer
    x = 20,635.19

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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.