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Finding the Fourth Proportional to 188,378.22, 259,960.90 and 102,336.51

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Solution

The fourth proportional to 188,378.22, 259,960.90 and 102,336.51 is: 141,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,378.22 : 259,960.90 = 102,336.51 : x
  2. Step 2: Convert to fraction form
    188,378.22/259,960.90 = 102,336.51/x
  3. Step 3: Cross multiply
    188,378.22x = 259,960.90 × 102,336.51
  4. Step 4: Simplify right side
    188,378.22x = 26,603,491,242.46
  5. Step 5: Solve for x
    x = 26,603,491,242.46/188,378.22
  6. Step 6: Final answer
    x = 141,223.82

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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.