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Finding the Fourth Proportional to 259,847.70, 389,771.55 and 102,023.70

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Solution

The fourth proportional to 259,847.70, 389,771.55 and 102,023.70 is: 153,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,847.70 : 389,771.55 = 102,023.70 : x
  2. Step 2: Convert to fraction form
    259,847.70/389,771.55 = 102,023.70/x
  3. Step 3: Cross multiply
    259,847.70x = 389,771.55 × 102,023.70
  4. Step 4: Simplify right side
    259,847.70x = 39,765,935,685.74
  5. Step 5: Solve for x
    x = 39,765,935,685.74/259,847.70
  6. Step 6: Final answer
    x = 153,035.55

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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.