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Finding the Fourth Proportional to 82,053.96, 123,080.90 and 19,724.44

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Solution

The fourth proportional to 82,053.96, 123,080.90 and 19,724.44 is: 29,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.96 : 123,080.90 = 19,724.44 : x
  2. Step 2: Convert to fraction form
    82,053.96/123,080.90 = 19,724.44/x
  3. Step 3: Cross multiply
    82,053.96x = 123,080.90 × 19,724.44
  4. Step 4: Simplify right side
    82,053.96x = 2,427,701,827.20
  5. Step 5: Solve for x
    x = 2,427,701,827.20/82,053.96
  6. Step 6: Final answer
    x = 29,586.65

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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.