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Finding the Fourth Proportional to 208,926.54, 313,404.39 and 90,604.98

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Solution

The fourth proportional to 208,926.54, 313,404.39 and 90,604.98 is: 135,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,926.54 : 313,404.39 = 90,604.98 : x
  2. Step 2: Convert to fraction form
    208,926.54/313,404.39 = 90,604.98/x
  3. Step 3: Cross multiply
    208,926.54x = 313,404.39 × 90,604.98
  4. Step 4: Simplify right side
    208,926.54x = 28,395,998,487.86
  5. Step 5: Solve for x
    x = 28,395,998,487.86/208,926.54
  6. Step 6: Final answer
    x = 135,913.79

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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.