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Finding the Fourth Proportional to 206,453.34, 309,710.79 and 73,322.42

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Solution

The fourth proportional to 206,453.34, 309,710.79 and 73,322.42 is: 109,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,453.34 : 309,710.79 = 73,322.42 : x
  2. Step 2: Convert to fraction form
    206,453.34/309,710.79 = 73,322.42/x
  3. Step 3: Cross multiply
    206,453.34x = 309,710.79 × 73,322.42
  4. Step 4: Simplify right side
    206,453.34x = 22,708,743,074.36
  5. Step 5: Solve for x
    x = 22,708,743,074.36/206,453.34
  6. Step 6: Final answer
    x = 109,994.55

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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.