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Finding the Fourth Proportional to 54,415.87, 81,615.53 and 18,391.86

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Solution

The fourth proportional to 54,415.87, 81,615.53 and 18,391.86 is: 27,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,415.87 : 81,615.53 = 18,391.86 : x
  2. Step 2: Convert to fraction form
    54,415.87/81,615.53 = 18,391.86/x
  3. Step 3: Cross multiply
    54,415.87x = 81,615.53 × 18,391.86
  4. Step 4: Simplify right side
    54,415.87x = 1,501,061,447.57
  5. Step 5: Solve for x
    x = 1,501,061,447.57/54,415.87
  6. Step 6: Final answer
    x = 27,585.00

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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.