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Finding the Fourth Proportional to 138,020.46, 207,074.43 and 49,272

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Solution

The fourth proportional to 138,020.46, 207,074.43 and 49,272 is: 73,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,020.46 : 207,074.43 = 49,272 : x
  2. Step 2: Convert to fraction form
    138,020.46/207,074.43 = 49,272/x
  3. Step 3: Cross multiply
    138,020.46x = 207,074.43 × 49,272
  4. Step 4: Simplify right side
    138,020.46x = 10,202,971,314.96
  5. Step 5: Solve for x
    x = 10,202,971,314.96/138,020.46
  6. Step 6: Final answer
    x = 73,923.61

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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.