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Finding the Fourth Proportional to 138,471.37, 207,706.98 and 33,290.31

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Solution

The fourth proportional to 138,471.37, 207,706.98 and 33,290.31 is: 49,935.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471.37 : 207,706.98 = 33,290.31 : x
  2. Step 2: Convert to fraction form
    138,471.37/207,706.98 = 33,290.31/x
  3. Step 3: Cross multiply
    138,471.37x = 207,706.98 × 33,290.31
  4. Step 4: Simplify right side
    138,471.37x = 6,914,629,753.36
  5. Step 5: Solve for x
    x = 6,914,629,753.36/138,471.37
  6. Step 6: Final answer
    x = 49,935.45

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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.