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Finding the Fourth Proportional to 259,752.96, 389,640.57 and 102,015.57

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Solution

The fourth proportional to 259,752.96, 389,640.57 and 102,015.57 is: 153,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,752.96 : 389,640.57 = 102,015.57 : x
  2. Step 2: Convert to fraction form
    259,752.96/389,640.57 = 102,015.57/x
  3. Step 3: Cross multiply
    259,752.96x = 389,640.57 × 102,015.57
  4. Step 4: Simplify right side
    259,752.96x = 39,749,404,843.67
  5. Step 5: Solve for x
    x = 39,749,404,843.67/259,752.96
  6. Step 6: Final answer
    x = 153,027.73

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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.