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Finding the Fourth Proportional to 138,992.80, 208,489.20 and 83,696.80

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Solution

The fourth proportional to 138,992.80, 208,489.20 and 83,696.80 is: 125,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,992.80 : 208,489.20 = 83,696.80 : x
  2. Step 2: Convert to fraction form
    138,992.80/208,489.20 = 83,696.80/x
  3. Step 3: Cross multiply
    138,992.80x = 208,489.20 × 83,696.80
  4. Step 4: Simplify right side
    138,992.80x = 17,449,878,874.56
  5. Step 5: Solve for x
    x = 17,449,878,874.56/138,992.80
  6. Step 6: Final answer
    x = 125,545.20

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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.