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Finding the Fourth Proportional to 188,690.89, 260,395.11 and 102,651.75

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Solution

The fourth proportional to 188,690.89, 260,395.11 and 102,651.75 is: 141,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,690.89 : 260,395.11 = 102,651.75 : x
  2. Step 2: Convert to fraction form
    188,690.89/260,395.11 = 102,651.75/x
  3. Step 3: Cross multiply
    188,690.89x = 260,395.11 × 102,651.75
  4. Step 4: Simplify right side
    188,690.89x = 26,730,013,732.94
  5. Step 5: Solve for x
    x = 26,730,013,732.94/188,690.89
  6. Step 6: Final answer
    x = 141,660.33

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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.