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Finding the Fourth Proportional to 138,510, 207,816.84 and 71,908.56

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Solution

The fourth proportional to 138,510, 207,816.84 and 71,908.56 is: 107,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,510 : 207,816.84 = 71,908.56 : x
  2. Step 2: Convert to fraction form
    138,510/207,816.84 = 71,908.56/x
  3. Step 3: Cross multiply
    138,510x = 207,816.84 × 71,908.56
  4. Step 4: Simplify right side
    138,510x = 14,943,809,708.15
  5. Step 5: Solve for x
    x = 14,943,809,708.15/138,510
  6. Step 6: Final answer
    x = 107,889.75

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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.