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Finding the Fourth Proportional to 55,286.90, 82,914.15 and 19,744.10

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Solution

The fourth proportional to 55,286.90, 82,914.15 and 19,744.10 is: 29,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286.90 : 82,914.15 = 19,744.10 : x
  2. Step 2: Convert to fraction form
    55,286.90/82,914.15 = 19,744.10/x
  3. Step 3: Cross multiply
    55,286.90x = 82,914.15 × 19,744.10
  4. Step 4: Simplify right side
    55,286.90x = 1,637,065,269.02
  5. Step 5: Solve for x
    x = 1,637,065,269.02/55,286.90
  6. Step 6: Final answer
    x = 29,610.36

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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.