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Finding the Fourth Proportional to 206,506.45, 309,759.69 and 73,391.96

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Solution

The fourth proportional to 206,506.45, 309,759.69 and 73,391.96 is: 110,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,506.45 : 309,759.69 = 73,391.96 : x
  2. Step 2: Convert to fraction form
    206,506.45/309,759.69 = 73,391.96/x
  3. Step 3: Cross multiply
    206,506.45x = 309,759.69 × 73,391.96
  4. Step 4: Simplify right side
    206,506.45x = 22,733,871,827.71
  5. Step 5: Solve for x
    x = 22,733,871,827.71/206,506.45
  6. Step 6: Final answer
    x = 110,087.95

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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.