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Finding the Fourth Proportional to 208,489.54, 312,615.79 and 82,061.24

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Solution

The fourth proportional to 208,489.54, 312,615.79 and 82,061.24 is: 123,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,489.54 : 312,615.79 = 82,061.24 : x
  2. Step 2: Convert to fraction form
    208,489.54/312,615.79 = 82,061.24/x
  3. Step 3: Cross multiply
    208,489.54x = 312,615.79 × 82,061.24
  4. Step 4: Simplify right side
    208,489.54x = 25,653,640,240.44
  5. Step 5: Solve for x
    x = 25,653,640,240.44/208,489.54
  6. Step 6: Final answer
    x = 123,045.22

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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.