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Finding the Fourth Proportional to 259,806.40, 389,628.60 and 102,083.20

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Solution

The fourth proportional to 259,806.40, 389,628.60 and 102,083.20 is: 153,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,806.40 : 389,628.60 = 102,083.20 : x
  2. Step 2: Convert to fraction form
    259,806.40/389,628.60 = 102,083.20/x
  3. Step 3: Cross multiply
    259,806.40x = 389,628.60 × 102,083.20
  4. Step 4: Simplify right side
    259,806.40x = 39,774,534,299.52
  5. Step 5: Solve for x
    x = 39,774,534,299.52/259,806.40
  6. Step 6: Final answer
    x = 153,092.97

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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.