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Finding the Fourth Proportional to 261,993.96, 393,067.49 and 84,497.04

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Solution

The fourth proportional to 261,993.96, 393,067.49 and 84,497.04 is: 126,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,993.96 : 393,067.49 = 84,497.04 : x
  2. Step 2: Convert to fraction form
    261,993.96/393,067.49 = 84,497.04/x
  3. Step 3: Cross multiply
    261,993.96x = 393,067.49 × 84,497.04
  4. Step 4: Simplify right side
    261,993.96x = 33,213,039,002.74
  5. Step 5: Solve for x
    x = 33,213,039,002.74/261,993.96
  6. Step 6: Final answer
    x = 126,770.25

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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.