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Finding the Fourth Proportional to 55,726, 83,589.08 and 18,790

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Solution

The fourth proportional to 55,726, 83,589.08 and 18,790 is: 28,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,726 : 83,589.08 = 18,790 : x
  2. Step 2: Convert to fraction form
    55,726/83,589.08 = 18,790/x
  3. Step 3: Cross multiply
    55,726x = 83,589.08 × 18,790
  4. Step 4: Simplify right side
    55,726x = 1,570,638,813.20
  5. Step 5: Solve for x
    x = 1,570,638,813.20/55,726
  6. Step 6: Final answer
    x = 28,185.03

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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.