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Finding the Fourth Proportional to 259,718.70, 389,528.85 and 91,199.43

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Solution

The fourth proportional to 259,718.70, 389,528.85 and 91,199.43 is: 136,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,718.70 : 389,528.85 = 91,199.43 : x
  2. Step 2: Convert to fraction form
    259,718.70/389,528.85 = 91,199.43/x
  3. Step 3: Cross multiply
    259,718.70x = 389,528.85 × 91,199.43
  4. Step 4: Simplify right side
    259,718.70x = 35,524,809,088.56
  5. Step 5: Solve for x
    x = 35,524,809,088.56/259,718.70
  6. Step 6: Final answer
    x = 136,781.87

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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.