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Finding the Fourth Proportional to 278,100, 383,829.84 and 158,868

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Solution

The fourth proportional to 278,100, 383,829.84 and 158,868 is: 219,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,100 : 383,829.84 = 158,868 : x
  2. Step 2: Convert to fraction form
    278,100/383,829.84 = 158,868/x
  3. Step 3: Cross multiply
    278,100x = 383,829.84 × 158,868
  4. Step 4: Simplify right side
    278,100x = 60,978,279,021.12
  5. Step 5: Solve for x
    x = 60,978,279,021.12/278,100
  6. Step 6: Final answer
    x = 219,267.45

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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.