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Finding the Fourth Proportional to 138,609.84, 207,914.97 and 33,428.81

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Solution

The fourth proportional to 138,609.84, 207,914.97 and 33,428.81 is: 50,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,609.84 : 207,914.97 = 33,428.81 : x
  2. Step 2: Convert to fraction form
    138,609.84/207,914.97 = 33,428.81/x
  3. Step 3: Cross multiply
    138,609.84x = 207,914.97 × 33,428.81
  4. Step 4: Simplify right side
    138,609.84x = 6,950,348,988.71
  5. Step 5: Solve for x
    x = 6,950,348,988.71/138,609.84
  6. Step 6: Final answer
    x = 50,143.26

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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.