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Finding the Fourth Proportional to 54,496.80, 81,684.45 and 21,205.80

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Solution

The fourth proportional to 54,496.80, 81,684.45 and 21,205.80 is: 31,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,496.80 : 81,684.45 = 21,205.80 : x
  2. Step 2: Convert to fraction form
    54,496.80/81,684.45 = 21,205.80/x
  3. Step 3: Cross multiply
    54,496.80x = 81,684.45 × 21,205.80
  4. Step 4: Simplify right side
    54,496.80x = 1,732,184,109.81
  5. Step 5: Solve for x
    x = 1,732,184,109.81/54,496.80
  6. Step 6: Final answer
    x = 31,785.06

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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.