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Finding the Fourth Proportional to 234,340, 351,569.94 and 68,128

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Solution

The fourth proportional to 234,340, 351,569.94 and 68,128 is: 102,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,340 : 351,569.94 = 68,128 : x
  2. Step 2: Convert to fraction form
    234,340/351,569.94 = 68,128/x
  3. Step 3: Cross multiply
    234,340x = 351,569.94 × 68,128
  4. Step 4: Simplify right side
    234,340x = 23,951,756,872.32
  5. Step 5: Solve for x
    x = 23,951,756,872.32/234,340
  6. Step 6: Final answer
    x = 102,209.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.