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Finding the Fourth Proportional to 209,978.69, 289,771.97 and 114,486.98

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Solution

The fourth proportional to 209,978.69, 289,771.97 and 114,486.98 is: 157,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,978.69 : 289,771.97 = 114,486.98 : x
  2. Step 2: Convert to fraction form
    209,978.69/289,771.97 = 114,486.98/x
  3. Step 3: Cross multiply
    209,978.69x = 289,771.97 × 114,486.98
  4. Step 4: Simplify right side
    209,978.69x = 33,175,115,712.66
  5. Step 5: Solve for x
    x = 33,175,115,712.66/209,978.69
  6. Step 6: Final answer
    x = 157,992.78

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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.