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Finding the Fourth Proportional to 55,228.20, 82,863.90 and 20,171.40

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Solution

The fourth proportional to 55,228.20, 82,863.90 and 20,171.40 is: 30,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,228.20 : 82,863.90 = 20,171.40 : x
  2. Step 2: Convert to fraction form
    55,228.20/82,863.90 = 20,171.40/x
  3. Step 3: Cross multiply
    55,228.20x = 82,863.90 × 20,171.40
  4. Step 4: Simplify right side
    55,228.20x = 1,671,480,872.46
  5. Step 5: Solve for x
    x = 1,671,480,872.46/55,228.20
  6. Step 6: Final answer
    x = 30,264.99

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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.