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Finding the Fourth Proportional to 259,768.60, 389,665.70 and 135,352.60

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Solution

The fourth proportional to 259,768.60, 389,665.70 and 135,352.60 is: 203,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,768.60 : 389,665.70 = 135,352.60 : x
  2. Step 2: Convert to fraction form
    259,768.60/389,665.70 = 135,352.60/x
  3. Step 3: Cross multiply
    259,768.60x = 389,665.70 × 135,352.60
  4. Step 4: Simplify right side
    259,768.60x = 52,742,265,625.82
  5. Step 5: Solve for x
    x = 52,742,265,625.82/259,768.60
  6. Step 6: Final answer
    x = 203,035.57

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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.