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Finding the Fourth Proportional to 209,115.86, 313,497.44 and 90,698

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Solution

The fourth proportional to 209,115.86, 313,497.44 and 90,698 is: 135,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,115.86 : 313,497.44 = 90,698 : x
  2. Step 2: Convert to fraction form
    209,115.86/313,497.44 = 90,698/x
  3. Step 3: Cross multiply
    209,115.86x = 313,497.44 × 90,698
  4. Step 4: Simplify right side
    209,115.86x = 28,433,590,813.12
  5. Step 5: Solve for x
    x = 28,433,590,813.12/209,115.86
  6. Step 6: Final answer
    x = 135,970.51

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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.