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Finding the Fourth Proportional to 54,257.75, 81,409.86 and 27,980.94

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Solution

The fourth proportional to 54,257.75, 81,409.86 and 27,980.94 is: 41,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,257.75 : 81,409.86 = 27,980.94 : x
  2. Step 2: Convert to fraction form
    54,257.75/81,409.86 = 27,980.94/x
  3. Step 3: Cross multiply
    54,257.75x = 81,409.86 × 27,980.94
  4. Step 4: Simplify right side
    54,257.75x = 2,277,924,713.36
  5. Step 5: Solve for x
    x = 2,277,924,713.36/54,257.75
  6. Step 6: Final answer
    x = 41,983.40

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1.5x scale

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.