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Finding the Fourth Proportional to 138,195.75, 207,285.39 and 81,301.62

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Solution

The fourth proportional to 138,195.75, 207,285.39 and 81,301.62 is: 121,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,195.75 : 207,285.39 = 81,301.62 : x
  2. Step 2: Convert to fraction form
    138,195.75/207,285.39 = 81,301.62/x
  3. Step 3: Cross multiply
    138,195.75x = 207,285.39 × 81,301.62
  4. Step 4: Simplify right side
    138,195.75x = 16,852,638,009.33
  5. Step 5: Solve for x
    x = 16,852,638,009.33/138,195.75
  6. Step 6: Final answer
    x = 121,947.59

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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.