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Finding the Fourth Proportional to 82,515.65, 123,662.61 and 45,019.54

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Solution

The fourth proportional to 82,515.65, 123,662.61 and 45,019.54 is: 67,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,515.65 : 123,662.61 = 45,019.54 : x
  2. Step 2: Convert to fraction form
    82,515.65/123,662.61 = 45,019.54/x
  3. Step 3: Cross multiply
    82,515.65x = 123,662.61 × 45,019.54
  4. Step 4: Simplify right side
    82,515.65x = 5,567,233,508.24
  5. Step 5: Solve for x
    x = 5,567,233,508.24/82,515.65
  6. Step 6: Final answer
    x = 67,468.82

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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.