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Finding the Fourth Proportional to 82,474.20, 123,711.30 and 65,743.65

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Solution

The fourth proportional to 82,474.20, 123,711.30 and 65,743.65 is: 98,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,474.20 : 123,711.30 = 65,743.65 : x
  2. Step 2: Convert to fraction form
    82,474.20/123,711.30 = 65,743.65/x
  3. Step 3: Cross multiply
    82,474.20x = 123,711.30 × 65,743.65
  4. Step 4: Simplify right side
    82,474.20x = 8,133,232,408.25
  5. Step 5: Solve for x
    x = 8,133,232,408.25/82,474.20
  6. Step 6: Final answer
    x = 98,615.48

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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.