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Finding the Fourth Proportional to 259,704.70, 389,459.85 and 91,159.90

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Solution

The fourth proportional to 259,704.70, 389,459.85 and 91,159.90 is: 136,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,704.70 : 389,459.85 = 91,159.90 : x
  2. Step 2: Convert to fraction form
    259,704.70/389,459.85 = 91,159.90/x
  3. Step 3: Cross multiply
    259,704.70x = 389,459.85 × 91,159.90
  4. Step 4: Simplify right side
    259,704.70x = 35,503,120,980.02
  5. Step 5: Solve for x
    x = 35,503,120,980.02/259,704.70
  6. Step 6: Final answer
    x = 136,705.73

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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.