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Finding the Fourth Proportional to 82,082, 123,134.88 and 25,903.04

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Solution

The fourth proportional to 82,082, 123,134.88 and 25,903.04 is: 38,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,082 : 123,134.88 = 25,903.04 : x
  2. Step 2: Convert to fraction form
    82,082/123,134.88 = 25,903.04/x
  3. Step 3: Cross multiply
    82,082x = 123,134.88 × 25,903.04
  4. Step 4: Simplify right side
    82,082x = 3,189,567,722.04
  5. Step 5: Solve for x
    x = 3,189,567,722.04/82,082
  6. Step 6: Final answer
    x = 38,858.31

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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.