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Finding the Fourth Proportional to 206,781.60, 310,234.70 and 73,644.54

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Solution

The fourth proportional to 206,781.60, 310,234.70 and 73,644.54 is: 110,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,781.60 : 310,234.70 = 73,644.54 : x
  2. Step 2: Convert to fraction form
    206,781.60/310,234.70 = 73,644.54/x
  3. Step 3: Cross multiply
    206,781.60x = 310,234.70 × 73,644.54
  4. Step 4: Simplify right side
    206,781.60x = 22,847,091,773.54
  5. Step 5: Solve for x
    x = 22,847,091,773.54/206,781.60
  6. Step 6: Final answer
    x = 110,489.00

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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.