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Finding the Fourth Proportional to 188,684.64, 260,418.24 and 113,238

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Solution

The fourth proportional to 188,684.64, 260,418.24 and 113,238 is: 156,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,684.64 : 260,418.24 = 113,238 : x
  2. Step 2: Convert to fraction form
    188,684.64/260,418.24 = 113,238/x
  3. Step 3: Cross multiply
    188,684.64x = 260,418.24 × 113,238
  4. Step 4: Simplify right side
    188,684.64x = 29,489,240,661.12
  5. Step 5: Solve for x
    x = 29,489,240,661.12/188,684.64
  6. Step 6: Final answer
    x = 156,288.51

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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.