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Finding the Fourth Proportional to 187,892, 259,290.96 and 108,450.08

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Solution

The fourth proportional to 187,892, 259,290.96 and 108,450.08 is: 149,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,892 : 259,290.96 = 108,450.08 : x
  2. Step 2: Convert to fraction form
    187,892/259,290.96 = 108,450.08/x
  3. Step 3: Cross multiply
    187,892x = 259,290.96 × 108,450.08
  4. Step 4: Simplify right side
    187,892x = 28,120,125,355.28
  5. Step 5: Solve for x
    x = 28,120,125,355.28/187,892
  6. Step 6: Final answer
    x = 149,661.11

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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.