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Finding the Fourth Proportional to 188,375.76, 259,960.86 and 103,491

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Solution

The fourth proportional to 188,375.76, 259,960.86 and 103,491 is: 142,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,375.76 : 259,960.86 = 103,491 : x
  2. Step 2: Convert to fraction form
    188,375.76/259,960.86 = 103,491/x
  3. Step 3: Cross multiply
    188,375.76x = 259,960.86 × 103,491
  4. Step 4: Simplify right side
    188,375.76x = 26,903,609,362.26
  5. Step 5: Solve for x
    x = 26,903,609,362.26/188,375.76
  6. Step 6: Final answer
    x = 142,818.85

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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.