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Finding the Fourth Proportional to 259,753.96, 389,642.07 and 102,016.57

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Solution

The fourth proportional to 259,753.96, 389,642.07 and 102,016.57 is: 153,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,753.96 : 389,642.07 = 102,016.57 : x
  2. Step 2: Convert to fraction form
    259,753.96/389,642.07 = 102,016.57/x
  3. Step 3: Cross multiply
    259,753.96x = 389,642.07 × 102,016.57
  4. Step 4: Simplify right side
    259,753.96x = 39,749,947,509.10
  5. Step 5: Solve for x
    x = 39,749,947,509.10/259,753.96
  6. Step 6: Final answer
    x = 153,029.23

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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.