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Finding the Fourth Proportional to 55,321.60, 82,940.16 and 27,639.04

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Solution

The fourth proportional to 55,321.60, 82,940.16 and 27,639.04 is: 41,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,321.60 : 82,940.16 = 27,639.04 : x
  2. Step 2: Convert to fraction form
    55,321.60/82,940.16 = 27,639.04/x
  3. Step 3: Cross multiply
    55,321.60x = 82,940.16 × 27,639.04
  4. Step 4: Simplify right side
    55,321.60x = 2,292,386,399.85
  5. Step 5: Solve for x
    x = 2,292,386,399.85/55,321.60
  6. Step 6: Final answer
    x = 41,437.46

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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.