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Finding the Fourth Proportional to 82,412.87, 123,280.86 and 65,805.38

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Solution

The fourth proportional to 82,412.87, 123,280.86 and 65,805.38 is: 98,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412.87 : 123,280.86 = 65,805.38 : x
  2. Step 2: Convert to fraction form
    82,412.87/123,280.86 = 65,805.38/x
  3. Step 3: Cross multiply
    82,412.87x = 123,280.86 × 65,805.38
  4. Step 4: Simplify right side
    82,412.87x = 8,112,543,839.03
  5. Step 5: Solve for x
    x = 8,112,543,839.03/82,412.87
  6. Step 6: Final answer
    x = 98,437.83

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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.