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Finding the Fourth Proportional to 137,321.70, 206,112.15 and 84,833.70

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Solution

The fourth proportional to 137,321.70, 206,112.15 and 84,833.70 is: 127,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,321.70 : 206,112.15 = 84,833.70 : x
  2. Step 2: Convert to fraction form
    137,321.70/206,112.15 = 84,833.70/x
  3. Step 3: Cross multiply
    137,321.70x = 206,112.15 × 84,833.70
  4. Step 4: Simplify right side
    137,321.70x = 17,485,256,299.46
  5. Step 5: Solve for x
    x = 17,485,256,299.46/137,321.70
  6. Step 6: Final answer
    x = 127,330.61

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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.