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Finding the Fourth Proportional to 55,185.97, 82,779.75 and 15,743.09

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Solution

The fourth proportional to 55,185.97, 82,779.75 and 15,743.09 is: 23,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,185.97 : 82,779.75 = 15,743.09 : x
  2. Step 2: Convert to fraction form
    55,185.97/82,779.75 = 15,743.09/x
  3. Step 3: Cross multiply
    55,185.97x = 82,779.75 × 15,743.09
  4. Step 4: Simplify right side
    55,185.97x = 1,303,208,561.81
  5. Step 5: Solve for x
    x = 1,303,208,561.81/55,185.97
  6. Step 6: Final answer
    x = 23,614.85

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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.