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Finding the Fourth Proportional to 55,275.81, 82,913.72 and 13,722.81

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Solution

The fourth proportional to 55,275.81, 82,913.72 and 13,722.81 is: 20,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,275.81 : 82,913.72 = 13,722.81 : x
  2. Step 2: Convert to fraction form
    55,275.81/82,913.72 = 13,722.81/x
  3. Step 3: Cross multiply
    55,275.81x = 82,913.72 × 13,722.81
  4. Step 4: Simplify right side
    55,275.81x = 1,137,809,157.34
  5. Step 5: Solve for x
    x = 1,137,809,157.34/55,275.81
  6. Step 6: Final answer
    x = 20,584.22

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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.