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Finding the Fourth Proportional to 138,019.46, 207,072.93 and 49,271

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Solution

The fourth proportional to 138,019.46, 207,072.93 and 49,271 is: 73,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,019.46 : 207,072.93 = 49,271 : x
  2. Step 2: Convert to fraction form
    138,019.46/207,072.93 = 49,271/x
  3. Step 3: Cross multiply
    138,019.46x = 207,072.93 × 49,271
  4. Step 4: Simplify right side
    138,019.46x = 10,202,690,334.03
  5. Step 5: Solve for x
    x = 10,202,690,334.03/138,019.46
  6. Step 6: Final answer
    x = 73,922.11

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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.