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Finding the Fourth Proportional to 206,965.85, 310,388.81 and 80,577.90

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Solution

The fourth proportional to 206,965.85, 310,388.81 and 80,577.90 is: 120,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,965.85 : 310,388.81 = 80,577.90 : x
  2. Step 2: Convert to fraction form
    206,965.85/310,388.81 = 80,577.90/x
  3. Step 3: Cross multiply
    206,965.85x = 310,388.81 × 80,577.90
  4. Step 4: Simplify right side
    206,965.85x = 25,010,478,090.41
  5. Step 5: Solve for x
    x = 25,010,478,090.41/206,965.85
  6. Step 6: Final answer
    x = 120,843.50

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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.