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Finding the Fourth Proportional to 259,675.92, 389,564.37 and 99,740.10

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Solution

The fourth proportional to 259,675.92, 389,564.37 and 99,740.10 is: 149,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,675.92 : 389,564.37 = 99,740.10 : x
  2. Step 2: Convert to fraction form
    259,675.92/389,564.37 = 99,740.10/x
  3. Step 3: Cross multiply
    259,675.92x = 389,564.37 × 99,740.10
  4. Step 4: Simplify right side
    259,675.92x = 38,855,187,759.37
  5. Step 5: Solve for x
    x = 38,855,187,759.37/259,675.92
  6. Step 6: Final answer
    x = 149,629.54

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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.