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Finding the Fourth Proportional to 188,906.16, 260,690.08 and 102,863.80

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Solution

The fourth proportional to 188,906.16, 260,690.08 and 102,863.80 is: 141,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,906.16 : 260,690.08 = 102,863.80 : x
  2. Step 2: Convert to fraction form
    188,906.16/260,690.08 = 102,863.80/x
  3. Step 3: Cross multiply
    188,906.16x = 260,690.08 × 102,863.80
  4. Step 4: Simplify right side
    188,906.16x = 26,815,572,251.10
  5. Step 5: Solve for x
    x = 26,815,572,251.10/188,906.16
  6. Step 6: Final answer
    x = 141,951.81

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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.