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Finding the Fourth Proportional to 55,251.28, 82,878.96 and 17,811.90

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Solution

The fourth proportional to 55,251.28, 82,878.96 and 17,811.90 is: 26,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,251.28 : 82,878.96 = 17,811.90 : x
  2. Step 2: Convert to fraction form
    55,251.28/82,878.96 = 17,811.90/x
  3. Step 3: Cross multiply
    55,251.28x = 82,878.96 × 17,811.90
  4. Step 4: Simplify right side
    55,251.28x = 1,476,231,814.42
  5. Step 5: Solve for x
    x = 1,476,231,814.42/55,251.28
  6. Step 6: Final answer
    x = 26,718.51

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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.