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Finding the Fourth Proportional to 187,805.36, 259,170.36 and 102,919.52

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Solution

The fourth proportional to 187,805.36, 259,170.36 and 102,919.52 is: 142,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,805.36 : 259,170.36 = 102,919.52 : x
  2. Step 2: Convert to fraction form
    187,805.36/259,170.36 = 102,919.52/x
  3. Step 3: Cross multiply
    187,805.36x = 259,170.36 × 102,919.52
  4. Step 4: Simplify right side
    187,805.36x = 26,673,689,049.43
  5. Step 5: Solve for x
    x = 26,673,689,049.43/187,805.36
  6. Step 6: Final answer
    x = 142,028.37

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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.