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Finding the Fourth Proportional to 187,696.25, 259,020.96 and 102,813.65

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Solution

The fourth proportional to 187,696.25, 259,020.96 and 102,813.65 is: 141,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,696.25 : 259,020.96 = 102,813.65 : x
  2. Step 2: Convert to fraction form
    187,696.25/259,020.96 = 102,813.65/x
  3. Step 3: Cross multiply
    187,696.25x = 259,020.96 × 102,813.65
  4. Step 4: Simplify right side
    187,696.25x = 26,630,890,324.10
  5. Step 5: Solve for x
    x = 26,630,890,324.10/187,696.25
  6. Step 6: Final answer
    x = 141,882.91

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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.