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Finding the Fourth Proportional to 268,201.70, 402,046.55 and 99,676.90

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Solution

The fourth proportional to 268,201.70, 402,046.55 and 99,676.90 is: 149,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,201.70 : 402,046.55 = 99,676.90 : x
  2. Step 2: Convert to fraction form
    268,201.70/402,046.55 = 99,676.90/x
  3. Step 3: Cross multiply
    268,201.70x = 402,046.55 × 99,676.90
  4. Step 4: Simplify right side
    268,201.70x = 40,074,753,759.70
  5. Step 5: Solve for x
    x = 40,074,753,759.70/268,201.70
  6. Step 6: Final answer
    x = 149,420.21

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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.