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Finding the Fourth Proportional to 206,649.48, 309,970.98 and 113,104.20

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Solution

The fourth proportional to 206,649.48, 309,970.98 and 113,104.20 is: 169,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,649.48 : 309,970.98 = 113,104.20 : x
  2. Step 2: Convert to fraction form
    206,649.48/309,970.98 = 113,104.20/x
  3. Step 3: Cross multiply
    206,649.48x = 309,970.98 × 113,104.20
  4. Step 4: Simplify right side
    206,649.48x = 35,059,019,716.12
  5. Step 5: Solve for x
    x = 35,059,019,716.12/206,649.48
  6. Step 6: Final answer
    x = 169,654.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.