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Finding the Fourth Proportional to 209,115.75, 313,497.25 and 90,697.89

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Solution

The fourth proportional to 209,115.75, 313,497.25 and 90,697.89 is: 135,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,115.75 : 313,497.25 = 90,697.89 : x
  2. Step 2: Convert to fraction form
    209,115.75/313,497.25 = 90,697.89/x
  3. Step 3: Cross multiply
    209,115.75x = 313,497.25 × 90,697.89
  4. Step 4: Simplify right side
    209,115.75x = 28,433,538,869.06
  5. Step 5: Solve for x
    x = 28,433,538,869.06/209,115.75
  6. Step 6: Final answer
    x = 135,970.34

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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.