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Finding the Fourth Proportional to 119,296.62, 178,915.42 and 71,278.34

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Solution

The fourth proportional to 119,296.62, 178,915.42 and 71,278.34 is: 106,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,296.62 : 178,915.42 = 71,278.34 : x
  2. Step 2: Convert to fraction form
    119,296.62/178,915.42 = 71,278.34/x
  3. Step 3: Cross multiply
    119,296.62x = 178,915.42 × 71,278.34
  4. Step 4: Simplify right side
    119,296.62x = 12,752,794,138.00
  5. Step 5: Solve for x
    x = 12,752,794,138.00/119,296.62
  6. Step 6: Final answer
    x = 106,899.88

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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.