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Finding the Fourth Proportional to 259,901.40, 389,997.90 and 110,116.20

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Solution

The fourth proportional to 259,901.40, 389,997.90 and 110,116.20 is: 165,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,901.40 : 389,997.90 = 110,116.20 : x
  2. Step 2: Convert to fraction form
    259,901.40/389,997.90 = 110,116.20/x
  3. Step 3: Cross multiply
    259,901.40x = 389,997.90 × 110,116.20
  4. Step 4: Simplify right side
    259,901.40x = 42,945,086,755.98
  5. Step 5: Solve for x
    x = 42,945,086,755.98/259,901.40
  6. Step 6: Final answer
    x = 165,236.07

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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.