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Finding the Fourth Proportional to 206,506.55, 309,763.22 and 56,745.90

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Solution

The fourth proportional to 206,506.55, 309,763.22 and 56,745.90 is: 85,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,506.55 : 309,763.22 = 56,745.90 : x
  2. Step 2: Convert to fraction form
    206,506.55/309,763.22 = 56,745.90/x
  3. Step 3: Cross multiply
    206,506.55x = 309,763.22 × 56,745.90
  4. Step 4: Simplify right side
    206,506.55x = 17,577,792,422.07
  5. Step 5: Solve for x
    x = 17,577,792,422.07/206,506.55
  6. Step 6: Final answer
    x = 85,119.78

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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.