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Finding the Fourth Proportional to 68,171.20, 102,160.80 and 54,155.20

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Solution

The fourth proportional to 68,171.20, 102,160.80 and 54,155.20 is: 81,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,171.20 : 102,160.80 = 54,155.20 : x
  2. Step 2: Convert to fraction form
    68,171.20/102,160.80 = 54,155.20/x
  3. Step 3: Cross multiply
    68,171.20x = 102,160.80 × 54,155.20
  4. Step 4: Simplify right side
    68,171.20x = 5,532,538,556.16
  5. Step 5: Solve for x
    x = 5,532,538,556.16/68,171.20
  6. Step 6: Final answer
    x = 81,156.54

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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.