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Finding the Fourth Proportional to 187,759, 259,129.11 and 107,198.02

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Solution

The fourth proportional to 187,759, 259,129.11 and 107,198.02 is: 147,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,759 : 259,129.11 = 107,198.02 : x
  2. Step 2: Convert to fraction form
    187,759/259,129.11 = 107,198.02/x
  3. Step 3: Cross multiply
    187,759x = 259,129.11 × 107,198.02
  4. Step 4: Simplify right side
    187,759x = 27,778,127,516.36
  5. Step 5: Solve for x
    x = 27,778,127,516.36/187,759
  6. Step 6: Final answer
    x = 147,945.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.