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Finding the Fourth Proportional to 138,407.43, 207,611.15 and 33,226.40

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Solution

The fourth proportional to 138,407.43, 207,611.15 and 33,226.40 is: 49,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407.43 : 207,611.15 = 33,226.40 : x
  2. Step 2: Convert to fraction form
    138,407.43/207,611.15 = 33,226.40/x
  3. Step 3: Cross multiply
    138,407.43x = 207,611.15 × 33,226.40
  4. Step 4: Simplify right side
    138,407.43x = 6,898,171,114.36
  5. Step 5: Solve for x
    x = 6,898,171,114.36/138,407.43
  6. Step 6: Final answer
    x = 49,839.60

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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.