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Finding the Fourth Proportional to 82,138.80, 123,208.20 and 54,145.20

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Solution

The fourth proportional to 82,138.80, 123,208.20 and 54,145.20 is: 81,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138.80 : 123,208.20 = 54,145.20 : x
  2. Step 2: Convert to fraction form
    82,138.80/123,208.20 = 54,145.20/x
  3. Step 3: Cross multiply
    82,138.80x = 123,208.20 × 54,145.20
  4. Step 4: Simplify right side
    82,138.80x = 6,671,132,630.64
  5. Step 5: Solve for x
    x = 6,671,132,630.64/82,138.80
  6. Step 6: Final answer
    x = 81,217.80

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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.