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Finding the Fourth Proportional to 55,381.44, 83,072.34 and 13,828.44

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Solution

The fourth proportional to 55,381.44, 83,072.34 and 13,828.44 is: 20,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,381.44 : 83,072.34 = 13,828.44 : x
  2. Step 2: Convert to fraction form
    55,381.44/83,072.34 = 13,828.44/x
  3. Step 3: Cross multiply
    55,381.44x = 83,072.34 × 13,828.44
  4. Step 4: Simplify right side
    55,381.44x = 1,148,760,869.35
  5. Step 5: Solve for x
    x = 1,148,760,869.35/55,381.44
  6. Step 6: Final answer
    x = 20,742.70

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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.