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Finding the Fourth Proportional to 234,612.20, 351,915.10 and 76,845.80

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Solution

The fourth proportional to 234,612.20, 351,915.10 and 76,845.80 is: 115,267.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,612.20 : 351,915.10 = 76,845.80 : x
  2. Step 2: Convert to fraction form
    234,612.20/351,915.10 = 76,845.80/x
  3. Step 3: Cross multiply
    234,612.20x = 351,915.10 × 76,845.80
  4. Step 4: Simplify right side
    234,612.20x = 27,043,197,391.58
  5. Step 5: Solve for x
    x = 27,043,197,391.58/234,612.20
  6. Step 6: Final answer
    x = 115,267.65

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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.