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Finding the Fourth Proportional to 55,811.80, 83,720.13 and 27,745.30

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Solution

The fourth proportional to 55,811.80, 83,720.13 and 27,745.30 is: 41,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,811.80 : 83,720.13 = 27,745.30 : x
  2. Step 2: Convert to fraction form
    55,811.80/83,720.13 = 27,745.30/x
  3. Step 3: Cross multiply
    55,811.80x = 83,720.13 × 27,745.30
  4. Step 4: Simplify right side
    55,811.80x = 2,322,840,122.89
  5. Step 5: Solve for x
    x = 2,322,840,122.89/55,811.80
  6. Step 6: Final answer
    x = 41,619.16

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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.