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Finding the Fourth Proportional to 208,951.92, 313,250.81 and 82,681.26

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Solution

The fourth proportional to 208,951.92, 313,250.81 and 82,681.26 is: 123,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,951.92 : 313,250.81 = 82,681.26 : x
  2. Step 2: Convert to fraction form
    208,951.92/313,250.81 = 82,681.26/x
  3. Step 3: Cross multiply
    208,951.92x = 313,250.81 × 82,681.26
  4. Step 4: Simplify right side
    208,951.92x = 25,899,970,543.81
  5. Step 5: Solve for x
    x = 25,899,970,543.81/208,951.92
  6. Step 6: Final answer
    x = 123,951.82

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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.