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Finding the Fourth Proportional to 138,251.84, 207,436.08 and 82,199.03

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Solution

The fourth proportional to 138,251.84, 207,436.08 and 82,199.03 is: 123,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,251.84 : 207,436.08 = 82,199.03 : x
  2. Step 2: Convert to fraction form
    138,251.84/207,436.08 = 82,199.03/x
  3. Step 3: Cross multiply
    138,251.84x = 207,436.08 × 82,199.03
  4. Step 4: Simplify right side
    138,251.84x = 17,051,044,563.00
  5. Step 5: Solve for x
    x = 17,051,044,563.00/138,251.84
  6. Step 6: Final answer
    x = 123,333.22

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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.