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Finding the Fourth Proportional to 82,134.60, 123,029.10 and 68,310.60

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Solution

The fourth proportional to 82,134.60, 123,029.10 and 68,310.60 is: 102,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134.60 : 123,029.10 = 68,310.60 : x
  2. Step 2: Convert to fraction form
    82,134.60/123,029.10 = 68,310.60/x
  3. Step 3: Cross multiply
    82,134.60x = 123,029.10 × 68,310.60
  4. Step 4: Simplify right side
    82,134.60x = 8,404,191,638.46
  5. Step 5: Solve for x
    x = 8,404,191,638.46/82,134.60
  6. Step 6: Final answer
    x = 102,322.18

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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.