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Finding the Fourth Proportional to 55,863.60, 83,771.10 and 18,409.20

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Solution

The fourth proportional to 55,863.60, 83,771.10 and 18,409.20 is: 27,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,863.60 : 83,771.10 = 18,409.20 : x
  2. Step 2: Convert to fraction form
    55,863.60/83,771.10 = 18,409.20/x
  3. Step 3: Cross multiply
    55,863.60x = 83,771.10 × 18,409.20
  4. Step 4: Simplify right side
    55,863.60x = 1,542,158,934.12
  5. Step 5: Solve for x
    x = 1,542,158,934.12/55,863.60
  6. Step 6: Final answer
    x = 27,605.79

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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.