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Finding the Fourth Proportional to 55,141.80, 82,672.20 and 21,845.40

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Solution

The fourth proportional to 55,141.80, 82,672.20 and 21,845.40 is: 32,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,141.80 : 82,672.20 = 21,845.40 : x
  2. Step 2: Convert to fraction form
    55,141.80/82,672.20 = 21,845.40/x
  3. Step 3: Cross multiply
    55,141.80x = 82,672.20 × 21,845.40
  4. Step 4: Simplify right side
    55,141.80x = 1,806,007,277.88
  5. Step 5: Solve for x
    x = 1,806,007,277.88/55,141.80
  6. Step 6: Final answer
    x = 32,752.06

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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.